EDGE Math 8

Simplify each expression. Assume that the variables represent nonzero real numbers. Then choose your answer.

1.	${(\frac{3 n^{2} p^{- 1}}{2 n p^{4}})}^{- 2}$

\frac{4 n^{6} p^{6}}{9}

\frac{4 p^{10}}{9 n^{2}}

\frac{9 n^{6} p^{6}}{4}

none of the choices

Answer: $\frac{4 p^{10}}{9 n^{2}}$

2.	$\frac{2 {(y z)}^{3}}{12 y^{4} z^{- 2}}$

\frac{z^{5}}{6 y}

\frac{y}{6 z^{5}}

\frac{z^{5}}{6 y^{7}}

none of the choices

Answer: $\frac{z^{5}}{6 y}$

3.	$\frac{3 x {(- 2 y^{2} z)}^{- 2}}{12 x^{4} y^{- 4} z^{5}}$

\frac{y}{2 x^{3} z^{7}}

\frac{1}{2 x^{3} z^{7}}

\frac{1}{16 x^{3} z^{7}}

none of the choices

Answer: $\frac{1}{16 x^{3} z^{7}}$

4.	$\frac{{(2 x^{2} y^{3})}^{2}}{6 {(x^{3} y^{- 1})}^{3}}$

\frac{2 y^{9}}{3 x^{5}}

\frac{y^{9}}{3 x^{5}}

\frac{2 y^{9}}{3 x^{13}}

none of the choices

Answer: $\frac{2 y^{9}}{3 x^{5}}$

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