EDGE Math 8

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

1.	$\frac{- 3 m^{4} n^{2}}{4 m^{5} n^{8}}$

- \frac{3 m^{9} n^{10}}{4}

- \frac{3}{4 m^{9} n^{10}}

- \frac{3}{4 m n^{6}}

none of the choices

Answer: $- \frac{3}{4 m n^{6}}$

2.	$\frac{5^{- 1} m^{2} n^{- 7}}{5 m^{4} n^{8}}$

\frac{1}{25 m^{2} n^{15}}

\frac{1}{m^{2} n^{15}}

\frac{1}{m^{2} n}

none of the choices

Answer: $\frac{1}{25 m^{2} n^{15}}$

3.	$\frac{8 r^{4} p^{- 3} q}{- 2^{2} r p q^{5}}$

- \frac{2 r^{3} q^{4}}{p^{4}}

- \frac{4 r^{3}}{p^{4} q^{4}}

- \frac{2 r^{3}}{p^{2} q^{4}}

none of the choices

Answer: none of the choices; the answer is $- \frac{2 r^{3}}{p^{4} q^{4}}$ .

4.	${(\frac{a^{3} b^{6} c^{- 2}}{2})}^{4}$

\frac{a^{12} b^{24}}{2 c^{8}}

\frac{a^{7} b^{10} c^{2}}{16}

\frac{a^{12} b^{24}}{16 c^{8}}

none of the choices

Answer: $\frac{a^{12} b^{24}}{16 c^{8}}$

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