Simplify the expression. Assume that the variables in the denominator are nonzero.
-$\left( \frac { 4 } { y ^ { 8 } } \right) ^ { 3 }$
A) $\frac { \mathrm { y } ^ { 12 } } { 64 }$
B) $\frac { 64 } { y ^ { 24 } }$
C) $\frac { 64 } { y ^ { 8 } }$
D) $\frac { 4 } { \mathrm { y } ^ { 24 } }$

Question

Quizplus · Accepted Answer

When you raise a power to a power, you multiply the exponents. So, $ (4/y^8)^3 = 4^3 / y^{8*3} = 64 / y^{24} $.

Simplify the Expression (4y8)3\left( \frac { 4 } { y ^ { 8 } } \right) ^ { 3 }(y84​)3

Simplify the Expression $\left( \frac { 4 } { y ^ { 8 } } \right) ^ { 3 }$