下面的代码可以正确编译,但存在一个问题:
文字说明“简化“应被强制转到以下页面。我已尝试过\pagebreak
、\clearpage
和。\newpage
\switchcolumn*[\newpage]
代码行 #348 是我尝试强制分页的地方:
{\vspace{0.5cm}}
%%%%%%%%%
\clearpage
%\switchcolumn*[\newpage]
\task![]\fullwidth{\textbf{Simplify. }}
我很抱歉 mwe 有点长,但我担心删除大块代码会导致读者无法复制问题。
非常感谢您愿意帮助我!(请注意,我确实阅读了该论坛上的几篇分页帖子,但找不到解决方案。)
\documentclass[12pt]{exam}
\printanswers
% un-comment to print solutions.
\renewcommand{\solutiontitle}{}
\usepackage{amsmath}
\usepackage{cancel}
\usepackage{framed}
\usepackage{bm}
\usepackage{multicol}
\usepackage[nice]{nicefrac}
\usepackage{tasks}
\usepackage[a4paper,margin=0.5in,include head]{geometry}
\usepackage{xcolor}
\usepackage{soul}
\pagestyle{head}
\header{Algebra II: Unit 13 A\&B Fractional Exponents}
{}
{Due 05/02/23}
\newcommand{\pagetop}{%
%\noindent
\bigskip
\vspace{0.5mm}
}
\newlength{\lwidth}% added <<<<<
\settowidth{\lwidth}{(99)\enspace} % added
\settasks{after-item-skip=1em,
after-skip=2cm,
label-width=\lwidth, % changed <<<<<<<<<
item-indent=0pt, % changed <<<<<<<<<<
%label-format = \bfseries,
%add \bf to make numbers bold <<<<<<<<<<
label=(\arabic*), %
label-offset = -\lwidth,% added <<<<<
item-format = \hspace{\lwidth},% added <<<<<
column-sep=2em, % changed <<<<<<<<<
}
\makeatletter
\renewcommand{\fullwidth}[1]{%
\vbox{%
\leftskip=-\lwidth \rightskip=0pt
\advance\linewidth\@totalleftmargin%
\@totalleftmargin=0pt%
#1}%
\nobreak
}
\makeatother
\begin{document}
%definition for bigskip = 1 line to replace all \bigskip
\def\bigskip{\vskip\bigskipamount}
\begin{tasks}
[style=enumerate](3)
\task![]\fullwidth{\textbf{Change to fractional exponents.}}
% Prob #1
\task
$\sqrt[6]{a}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$a^{1/6}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #2
\task
$\sqrt[4]{5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$5^{1/4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #3
\task
$\sqrt[3]{x^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{2/3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%
%Prob #4
\task
$\sqrt[4]{x^3}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}$}
\end{solutionorbox}
\vspace{0.25cm}
%Prob #5
\task
$\sqrt[4]{x^3y^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}y^{2/4}=x^{3/4}y^{1/2}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #6
\task
$\sqrt[4]{x^3y^4}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}y^{4/4}=x^{3/4}y$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #7
\task
$\sqrt[5]{x^3y^4z^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/5}y^{4/5}z^{2/5}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
% Prob #8
\task
$\sqrt[6]{a^4b^5c}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$a^{4/6}b^{5/6}c^{1/6}$=$a^{2/3}b^{5/6}c^{1/6}$}
\end{solutionorbox}
%%%%
%%%% Prob #9
\task![]\fullwidth{\textbf{Change to radicals.}}
\task
$x^{3/10}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[10]{x^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #10
\task
$w^{4/7}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[7]{x^4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #11
\task
$x^{1/3}y^{2/3}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[3]{x}\sqrt[3]{y^2}=\sqrt[3]{xy^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #12
\task
$m^{4/5}n^{3/5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[5]{m^4}\sqrt[5]{n^3}=\sqrt[5]{m^4n^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #13
\task
$(ab)^{3/4}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[4]{a^3}\sqrt[4]{b^3}=\sqrt[4]{a^3b^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%% Prob #14
\task
$(bc)^{4/5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[5]{b^4}\sqrt[5]{c^4}=\sqrt[5]{b^4c^4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #15
\task $(a^3b^5)^{1/6}$
\begin{solutionorbox}[5cm]
$(a^{3\bm{\cdot}1/6})(b^{5\bm{\cdot}1/6})$
\bigskip
$(a^{1/2})(b^{5/6})$
\bigskip
%>>>>adding \vphantom causes bot radicals to be same height
\colorbox{yellow}{$\sqrt{\vphantom{b}a}\sqrt[6]{b^5}$ or $\sqrt[6]{a^3b^5}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #16
\task
$(a^7b^3)^{1/8}$
\begin{solutionorbox}[5cm]
$(a^{7\bm{\cdot}1/8})(b^{3\bm{\cdot}1/8})$ \\
\bigskip
$(a^{7/8})(b^{3/8})$
\bigskip
%>>>>adding \vphantom causes bot radicals to be same height
\colorbox{yellow}{$\sqrt[8]{a^7b^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
\task![]\fullwidth{\textbf{Simplify. (Add exponents)}}
%% Prob #17
\task
$x^{3/4}\bm{\cdot}x^{1/4}$
\begin{solutionorbox}[5cm]
$x^{3/4+1/4}$
\bigskip
\colorbox{yellow}{$x^{4/4}=x$}
\end{solutionorbox}
%% Prob #18
\task
$a^{1/2}\bm{\cdot}a^{2/3}$
\begin{solutionorbox}[5cm]
$x^{1/2+2/3}$
\bigskip
\colorbox{yellow}{$x^{3/6+4/6}=x^{7/6}$}
\end{solutionorbox}
%% Prob #19
\task
$b^{3/4}\bm{\cdot}b^{1/10}$
\begin{solutionorbox}[5cm]
$b^{3/4+1/10}$
\bigskip
\colorbox{yellow}{$b^{15/20+2/20}=x^{17/20}$}
\end{solutionorbox}
%% Prob #20
\task
$5^{1/4}\bm{\cdot}5^{3/4}$
\begin{solutionorbox}[5cm]
$5^{1/4+3/4}$
\bigskip
\colorbox{yellow}{$5^{4/4}=5$}
\end{solutionorbox}
%% Prob #21
\task
$8^{1/3}\bm{\cdot}8^{1/4}$
\begin{solutionorbox}[5cm]
$8^{1/3+1/4}$
\bigskip
\colorbox{yellow}{$8^{4/12+3/12}=x^{7/12}$}
\end{solutionorbox}
%% Prob #22
\task
$z^{3/4}\bm{\cdot}z^{1/2}\bm{\cdot}z$
\begin{solutionorbox}[5cm]
$z^{3/4+1/2+1}$
\bigskip
\colorbox{yellow}{$z^{3/4+2/4+4/4}=x^{9/4}$}
\end{solutionorbox}
{\vspace{0.5cm}}
\task![]\fullwidth{\textbf{Simplify (Subtract exponents)}}
%% Prob #23
\task
$\dfrac{a^{3/4}b^{1/10}}{a^{1/4}b^{1/20}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(3/4-1/4)}b^{(1/10-1/20)}$
\bigskip
\colorbox{yellow}{$a^{(2/4)}b^{(1/20)}=a^{1/2}b^{1/20}$}
\end{solutionorbox}
%% Prob #24
\task
$\dfrac{a^{3/4}b}{a^{1/6}b^{1/3}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(3/4-1/6)}b^{(1-1/3)}$
\bigskip
\colorbox{yellow}{$a^{(2/4)}b^{(1/20)}=a^{1/2}b^{1/20}$}
\end{solutionorbox}
%%% Prob #25
\task
$\dfrac{a^{4/5}b^2}{a^{1/5}b^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(4/5-1/5)}b^{(4/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{3/5}b^{3/2}$}
\end{solutionorbox}
%%% Prob #26
\task
$\dfrac{a^{1/2}b^2}{a^{1/4}b^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2/4-1/4)}b^{(4/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{1/4}b^{3/2}$}
\end{solutionorbox}
%% Prob #27
\task
$\dfrac{a^{9/10}bc^4}{a^{1/5}b^{1/2}c^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(9/10-2/10)}b^{(2/2-1/2)c^(8/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{7/10}b^{1/2}c^{7/2)}$}
\end{solutionorbox}
%% Prob #28
\task
$\dfrac{a^{1.2}b^{4.8}c^{1.8}}{a^{\bm{.}8}b^2c^{1.8}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(1.2-0.8)}b^{(4.8-2.0)}c^{1.8-1.8}$
\bigskip
\colorbox{yellow}{$a^{0.4}b^{2.8}c^{0}=a^{0.4}b^{2.8}$}
\end{solutionorbox}
{\vspace{0.5cm}}
\task![]\fullwidth{\textbf{Simplify. (Multiply exponents)}}
%% Prob #29
\task
$(a^{1/2}b^2)\strut^{4}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(1/2 \bm{\cdot}4)}b^{(2\bm{\cdot}4)}$
\bigskip
\colorbox{yellow}{$a^2b^8$}
\end{solutionorbox}
%% Prob #30
\task
$(a^{2/3}b^{1/2})\strut^{12}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2/3\bm{\cdot}12)}b^{(1/2\bm{\cdot}12)}$
\bigskip
\colorbox{yellow}{$a^8b^6$}
\end{solutionorbox}
%% Prob #31
\task
$(a^{4/5}b)\strut^{2}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(4/5\bm{\cdot}2)}b^{(1\bm{\cdot}2)}$
\bigskip
\colorbox{yellow}{$a^{8/5}b^2$}
\end{solutionorbox}
%% Prob #32
\task
$(a^2b^3)\strut^{1/3}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2\bm{\cdot}1/3)}b^{(3\bm{\cdot}{1/3})}$
\bigskip
\colorbox{yellow}{$a^{2/3}b$}
\end{solutionorbox}
%% Prob #33
\task
$\biggl(\dfrac{a^{4/5}b^{2/3}}{c^{1/10}d^{1/3}}\biggr)^{\!20}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$\dfrac{a^{(4/5\bm{\cdot}20)}b^{(2/3\bm{\cdot}{20})}}{c^{(1/10\bm{\cdot}20)}d^{(1/3\bm{\cdot}20)}}$
\bigskip
\colorbox{yellow}{$\dfrac{a^{16}b^{40/3}}{c^2d^{20/3}}$}\
\end{solutionorbox}
{\vspace{0.5cm}}
%%%%%%%%%
\clearpage
%\switchcolumn*[\newpage]
\task![]\fullwidth{\textbf{Simplify. }}
%% Prob #34
\task
$\dfrac{a^{4/5}b^{2/3}}{c^{1/10}d^{1/3}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$\dfrac{a^{(4/5\bm{\cdot}20)}b^{(2/3\bm{\cdot}{20})}}{c^{(1/10\bm{\cdot}20)}d^{(1/3\bm{\cdot}20)}}$
\bigskip
\colorbox{yellow}{$\dfrac{a^{16}b^{40/3}}{c^2d^{20/3}}$}\
\end{solutionorbox}
{\vspace{0.5cm}}
\end{tasks}
\end{document}
答案1
只要有空间,LaTeX 就会尝试将列表保留在同一页面上。
因此,要发行,\clearpage
您首先需要\end{tasks}
。
resume
然后你可以使用键 继续枚举\begin{tasks}[resume](3)
\documentclass[12pt]{exam}
\printanswers
% un-comment to print solutions.
\renewcommand{\solutiontitle}{}
\usepackage{amsmath}
\usepackage{cancel}
\usepackage{framed}
\usepackage{bm}
\usepackage{multicol}
\usepackage[nice]{nicefrac}
\usepackage{tasks}
\usepackage[a4paper,margin=0.5in,include head]{geometry}
\usepackage{xcolor}
\usepackage{soul}
\pagestyle{head}
\header{Algebra II: Unit 13 A\&B Fractional Exponents}
{}
{Due 05/02/23}
\newcommand{\pagetop}{%
%\noindent
\bigskip
\vspace{0.5mm}
}
\newlength{\lwidth}% added <<<<<
\settowidth{\lwidth}{(99)\enspace} % added
\settasks{after-item-skip=1em,
after-skip=2cm,
label-width=\lwidth, % changed <<<<<<<<<
item-indent=0pt, % changed <<<<<<<<<<
%label-format = \bfseries,
%add \bf to make numbers bold <<<<<<<<<<
label=(\arabic*), %
label-offset = -\lwidth,% added <<<<<
item-format = \hspace{\lwidth},% added <<<<<
column-sep=2em, % changed <<<<<<<<<
}
\makeatletter
\renewcommand{\fullwidth}[1]{%
\vbox{%
\leftskip=-\lwidth \rightskip=0pt
\advance\linewidth\@totalleftmargin%
\@totalleftmargin=0pt%
#1}%
\nobreak
}
\makeatother
\begin{document}
%definition for bigskip = 1 line to replace all \bigskip
\def\bigskip{\vskip\bigskipamount}
\begin{tasks}
[style=enumerate](3)
\task![]\fullwidth{\textbf{Change to fractional exponents.}}
% Prob #1
\task
$\sqrt[6]{a}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$a^{1/6}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #2
\task
$\sqrt[4]{5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$5^{1/4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #3
\task
$\sqrt[3]{x^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{2/3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%
%Prob #4
\task
$\sqrt[4]{x^3}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}$}
\end{solutionorbox}
\vspace{0.25cm}
%Prob #5
\task
$\sqrt[4]{x^3y^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}y^{2/4}=x^{3/4}y^{1/2}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #6
\task
$\sqrt[4]{x^3y^4}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/4}y^{4/4}=x^{3/4}y$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
%Prob #7
\task
$\sqrt[5]{x^3y^4z^2}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$x^{3/5}y^{4/5}z^{2/5}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%%
% Prob #8
\task
$\sqrt[6]{a^4b^5c}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$a^{4/6}b^{5/6}c^{1/6}$=$a^{2/3}b^{5/6}c^{1/6}$}
\end{solutionorbox}
%%%%
%%%% Prob #9
\task![]\fullwidth{\textbf{Change to radicals.}}
\task
$x^{3/10}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[10]{x^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #10
\task
$w^{4/7}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[7]{x^4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #11
\task
$x^{1/3}y^{2/3}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[3]{x}\sqrt[3]{y^2}=\sqrt[3]{xy^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #12
\task
$m^{4/5}n^{3/5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[5]{m^4}\sqrt[5]{n^3}=\sqrt[5]{m^4n^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #13
\task
$(ab)^{3/4}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[4]{a^3}\sqrt[4]{b^3}=\sqrt[4]{a^3b^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%%% Prob #14
\task
$(bc)^{4/5}$
\begin{solutionorbox}[5cm]
\colorbox{yellow}{$\sqrt[5]{b^4}\sqrt[5]{c^4}=\sqrt[5]{b^4c^4}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #15
\task $(a^3b^5)^{1/6}$
\begin{solutionorbox}[5cm]
$(a^{3\bm{\cdot}1/6})(b^{5\bm{\cdot}1/6})$
\bigskip
$(a^{1/2})(b^{5/6})$
\bigskip
%>>>>adding \vphantom causes bot radicals to be same height
\colorbox{yellow}{$\sqrt{\vphantom{b}a}\sqrt[6]{b^5}$ or $\sqrt[6]{a^3b^5}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
%%%% Prob #16
\task
$(a^7b^3)^{1/8}$
\begin{solutionorbox}[5cm]
$(a^{7\bm{\cdot}1/8})(b^{3\bm{\cdot}1/8})$ \\
\bigskip
$(a^{7/8})(b^{3/8})$
\bigskip
%>>>>adding \vphantom causes bot radicals to be same height
\colorbox{yellow}{$\sqrt[8]{a^7b^3}$}
\end{solutionorbox}
\vspace{0.25cm}
%%
\task![]\fullwidth{\textbf{Simplify. (Add exponents)}}
%% Prob #17
\task
$x^{3/4}\bm{\cdot}x^{1/4}$
\begin{solutionorbox}[5cm]
$x^{3/4+1/4}$
\bigskip
\colorbox{yellow}{$x^{4/4}=x$}
\end{solutionorbox}
%% Prob #18
\task
$a^{1/2}\bm{\cdot}a^{2/3}$
\begin{solutionorbox}[5cm]
$x^{1/2+2/3}$
\bigskip
\colorbox{yellow}{$x^{3/6+4/6}=x^{7/6}$}
\end{solutionorbox}
%% Prob #19
\task
$b^{3/4}\bm{\cdot}b^{1/10}$
\begin{solutionorbox}[5cm]
$b^{3/4+1/10}$
\bigskip
\colorbox{yellow}{$b^{15/20+2/20}=x^{17/20}$}
\end{solutionorbox}
%% Prob #20
\task
$5^{1/4}\bm{\cdot}5^{3/4}$
\begin{solutionorbox}[5cm]
$5^{1/4+3/4}$
\bigskip
\colorbox{yellow}{$5^{4/4}=5$}
\end{solutionorbox}
%% Prob #21
\task
$8^{1/3}\bm{\cdot}8^{1/4}$
\begin{solutionorbox}[5cm]
$8^{1/3+1/4}$
\bigskip
\colorbox{yellow}{$8^{4/12+3/12}=x^{7/12}$}
\end{solutionorbox}
%% Prob #22
\task
$z^{3/4}\bm{\cdot}z^{1/2}\bm{\cdot}z$
\begin{solutionorbox}[5cm]
$z^{3/4+1/2+1}$
\bigskip
\colorbox{yellow}{$z^{3/4+2/4+4/4}=x^{9/4}$}
\end{solutionorbox}
{\vspace{0.5cm}}
\task![]\fullwidth{\textbf{Simplify (Subtract exponents)}}
%% Prob #23
\task
$\dfrac{a^{3/4}b^{1/10}}{a^{1/4}b^{1/20}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(3/4-1/4)}b^{(1/10-1/20)}$
\bigskip
\colorbox{yellow}{$a^{(2/4)}b^{(1/20)}=a^{1/2}b^{1/20}$}
\end{solutionorbox}
%% Prob #24
\task
$\dfrac{a^{3/4}b}{a^{1/6}b^{1/3}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(3/4-1/6)}b^{(1-1/3)}$
\bigskip
\colorbox{yellow}{$a^{(2/4)}b^{(1/20)}=a^{1/2}b^{1/20}$}
\end{solutionorbox}
%%% Prob #25
\task
$\dfrac{a^{4/5}b^2}{a^{1/5}b^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(4/5-1/5)}b^{(4/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{3/5}b^{3/2}$}
\end{solutionorbox}
%%% Prob #26
\task
$\dfrac{a^{1/2}b^2}{a^{1/4}b^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2/4-1/4)}b^{(4/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{1/4}b^{3/2}$}
\end{solutionorbox}
%% Prob #27
\task
$\dfrac{a^{9/10}bc^4}{a^{1/5}b^{1/2}c^{1/2}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(9/10-2/10)}b^{(2/2-1/2)}c^{(8/2-1/2)}$
\bigskip
\colorbox{yellow}{$a^{7/10}b^{1/2}c^{7/2)}$}
\end{solutionorbox}
%% Prob #28
\task
$\dfrac{a^{1.2}b^{4.8}c^{1.8}}{a^{\bm{.}8}b^2c^{1.8}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(1.2-0.8)}b^{(4.8-2.0)}c^{1.8-1.8}$
\bigskip
\colorbox{yellow}{$a^{0.4}b^{2.8}c^{0}=a^{0.4}b^{2.8}$}
\end{solutionorbox}
\vspace{0.5cm}
\task![]\fullwidth{\textbf{Simplify. (Multiply exponents)}}
%% Prob #29
\task
$(a^{1/2}b^2)\strut^{4}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(1/2 \bm{\cdot}4)}b^{(2\bm{\cdot}4)}$
\bigskip
\colorbox{yellow}{$a^2b^8$}
\end{solutionorbox}
%% Prob #30
\task
$(a^{2/3}b^{1/2})\strut^{12}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2/3\bm{\cdot}12)}b^{(1/2\bm{\cdot}12)}$
\bigskip
\colorbox{yellow}{$a^8b^6$}
\end{solutionorbox}
%% Prob #31
\task
$(a^{4/5}b)\strut^{2}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(4/5\bm{\cdot}2)}b^{(1\bm{\cdot}2)}$
\bigskip
\colorbox{yellow}{$a^{8/5}b^2$}
\end{solutionorbox}
%% Prob #32
\task
$(a^2b^3)\strut^{1/3}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$a^{(2\bm{\cdot}1/3)}b^{(3\bm{\cdot}{1/3})}$
\bigskip
\colorbox{yellow}{$a^{2/3}b$}
\end{solutionorbox}
%% Prob #33
\task
$\biggl(\dfrac{a^{4/5}b^{2/3}}{c^{1/10}d^{1/3}}\biggr)^{\!20}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$\dfrac{a^{(4/5\bm{\cdot}20)}b^{(2/3\bm{\cdot}{20})}}{c^{(1/10\bm{\cdot}20)}d^{(1/3\bm{\cdot}20)}}$
\bigskip
\colorbox{yellow}{$\dfrac{a^{16}b^{40/3}}{c^2d^{20/3}}$}\
\end{solutionorbox}
\vspace{0.5cm}
%********************************************************* added <<<<<<<<<<<<<<<<<
\end{tasks}
\clearpage
\begin{tasks}[resume](3)
%************************************************************
\task![]\fullwidth{\textbf{Simplify. }}
%% Prob #34
\task
$\dfrac{a^{4/5}b^{2/3}}{c^{1/10}d^{1/3}}$
\vspace{0.25cm}
\begin{solutionorbox}[5cm]
$\dfrac{a^{(4/5\bm{\cdot}20)}b^{(2/3\bm{\cdot}{20})}}{c^{(1/10\bm{\cdot}20)}d^{(1/3\bm{\cdot}20)}}$
\bigskip
\colorbox{yellow}{$\dfrac{a^{16}b^{40/3}}{c^2d^{20/3}}$}\
\end{solutionorbox}
\vspace{0.5cm}
\end{tasks}
\end{document}