Simplify. Express your answer with positive exponents. Assume that all variables are nonzero.
-$$\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }$$
A) $16 x ^ { 12 } y ^ { 10 }$
B) $\frac { 1 } { 16 x ^ { 12 } y ^ { 10 } }$
C) $\frac { 1 } { 4 x ^ { 12 } y ^ { 10 } }$
D) $\frac { 16 } { x ^ { 12 } y ^ { 10 } }$

Question

Quizplus · Accepted Answer

When raising a power to a power, you multiply the exponents. The negative exponent indicates the reciprocal. So, $(4x^6y^5)^{-2} = \frac{1}{(4x^6y^5)^2} = \frac{1}{16x^{12}y^{10}}$.

Simplify Express Your Answer with Positive Exponents (4x6y5)−2\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }(4x6y5)−2

Simplify Express Your Answer with Positive Exponents $\left( 4 x ^ { 6 } y ^ { 5 } \right) ^ { - 2 }$