Raise the monomial to the indicated power. $- ( 5 a b ) ^ { 3 }$
A) $- 125 a ^ { 4 } b ^ { 4 }$
B) $- 15 a ^ { 4 } b ^ { 4 }$
C) $15 a ^ { 3 } b ^ { 3 }$
D) $- 125 a ^ { 3 } b ^ { 3 }$
E) $125 a ^ { 4 } b ^ { 4 }$

Question

Quizplus · Accepted Answer

When raising a monomial to a power, you multiply the exponent of each variable by the power. In this case, we have $(-5)^3=-125$, and $(ab)^3=a^3b^3$. Therefore, $(-5ab)^3=(-5)^3(a^3b^3)=-125a^3b^3$, which corresponds to choice D.

Raise the Monomial to the Indicated Power −(5ab)3- ( 5 a b ) ^ { 3 }−(5ab)3

Raise the Monomial to the Indicated Power $- ( 5 a b ) ^ { 3 }$