Math 70 week 3 quiz.tex

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 \textsc{Name}
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\begin{minipage}{0.6\textwidth}
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{\bf Math 70   \\
Quiz 3}
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\begin{enumerate}

\item   Simplify the following expressions: \\



\begin{enumerate}



\item $-3(yz^2)^4 $

\vspace{1cm}

\item  $ (xy^3)^{-2}$ \vspace{1cm}

\item $\frac{2\times 10^5 }{8\times 10^2 } $ \vspace{1cm}

\item $ ( 3+5)^3$  ( Write without exponents) \vspace{1cm}

\item $\displaystyle \frac{ xyz^{-4}}{4^{-2}z^2 x^2 } $\vspace{1cm}


\item $  8^{\frac{2}{3}} $  \vspace{1cm}




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\item  Give an explanation, based on the definition of an exponent why $x^0 = 1$ for all $x$ values.  
\vspace{6cm}



\item Since January 2000, the amount of data a company has collected (total data stored on their hard drives) has been tripling every year. 
If they started out with just 5 TB of data, at what point do they exceed 1000 TB of data.  Write a function that describes the growth 
of their data.   Draw a graph of the data.   

Suppose in another situation, growth was linear and the company added 100 TB of data a year.  Write an equation describing this situation
and graph it on the same set of axis as the previous equation.   Comment on the comparison.   

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