Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$$\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$$
A) $\frac { y ^ { 7 } } { 4 x ^ { 7 } z ^ { 6 } }$
B) $\frac { x ^ { 10 } z ^ { 8 } } { - 4 y ^ { - 10 } }$
C) $\frac { y ^ { 7 } } { - 4 x ^ { 7 } z ^ { 6 } }$
D) $\frac { x ^ { 10 } z ^ { 8 } } { 4 y ^ { 10 } }$

Question

Quizplus · Accepted Answer

When you raise a power to a power, you multiply the exponents. Thus, $\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$ becomes $2^{-2} x^{(-5)(-2)} y^{5(-2)} z^{(-4)(-2)}$, which simplifies to $\frac { x ^ { 10 } z ^ { 8 } } { 4 y ^ { 10 } }$.

Simplify Express Your Answer with Positive Exponents (2x−5y5z−4)−2\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }(2x−5y5z−4)−2

Simplify Express Your Answer with Positive Exponents $\left( 2 x ^ { - 5 } y ^ { 5 } z ^ { - 4 } \right) ^ { - 2 }$