Raise the monomial to the indicated power. Use the properties of exponents to help with the manipulation. $\left( - 3 a ^ { 6 } b ^ { 8 } \right) ^ { 3 }$
A) $- 27 a ^ { 9 } b ^ { 11 }$
B) $- 27 a ^ { 18 } b ^ { 8 }$
C) $- 27 a ^ { 18 } b ^ { 24 }$
D) $- 27 a ^ { 6 } b ^ { 24 }$

Question

Quizplus · Accepted Answer

When raising a monomial to a power, you raise both the coefficient and each variable to that power. Here, $(-3)^3 = -27$, $a^{6 \times 3} = a^{18}$, and $b^{8 \times 3} = b^{24}$, making the correct answer $-27 a^{18} b^{24}$.

Raise the Monomial to the Indicated Power (−3a6b8)3\left( - 3 a ^ { 6 } b ^ { 8 } \right) ^ { 3 }(−3a6b8)3

Raise the Monomial to the Indicated Power $\left( - 3 a ^ { 6 } b ^ { 8 } \right) ^ { 3 }$