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\begin{center}
{\Large TEST 4

Math 101 - 2}
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\vspace{.1in}
You have 50 minutes to complete the test.  
You may not use a calculator.  
Show all relevant work (or else no credit).  
Make your work legible, if I can't read it, I can't grade it.  

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Name \rule{5in}{.2pt}

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\begin{enumerate}

\item  (10 points)  Simplify, write your answer using only positive exponents.
\[
\left(
\frac{2x^2}{y^{-1}}
\right) ^{-2}
\]
\vspace{3in}

\item  (10 points)  Rewrite the expression using rational exponents, simplify.
\[
x^2 \sqrt[5]{x^3}
\]
%\vspace{3in}
\newpage

\item  (10 points)  Simplify the radical.
\[
\sqrt[3]{\frac{16a^4}{b^6}}
\]
\vspace{3.3in}
%\newpage

\item  (15 points)  Rationalize the denominator.
\[
\frac{6}{7-\sqrt{7}}
\]
%\vspace{3in}
\newpage

\item  (15 points)  Solve the equation.
\[
-6=\sqrt{x}-x
\]
\vspace{4in}
%\newpage

\item  (5 points)  What is the complex conjugate of $\sqrt{5} \mbox{ } i$?
\vspace{1.5in}

\item  (5 points)  What is the complex conjugate of $17-12i$?
%\vspace{1.5in}
\newpage

\item  (15 points)  Write the complex number in standard form ($a+bi$).
\[
\frac{1+i}{1-i}
\]
\vspace{3.5in}

\item  (15 points)  Solve the equation.
\[
(y+12)^2+400=0
\]



\end{enumerate}

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