Simplify the expression. $6 z ^ { 6 } \left( 4 z ^ { 8 } \right) ^ { 3 }$
A) $72 z ^ { 17 }$
B) $384 z ^ { 17 }$
C) $384 z ^ { 30 }$
D) $24 z ^ { 30 }$
E) $72 z ^ { 30 }$

Question

Quizplus · Accepted Answer

To simplify the expression $6 z ^ { 6 } \left( 4 z ^ { 8 } \right) ^ { 3 }$, first apply the power of a power rule to the term inside the parentheses, which gives $4^3 z^{8*3}$. This simplifies to $64 z^{24}$. Then, multiply this result by the term outside the parentheses, $6 z^6$, to get $6*64 z^{6+24}$, which simplifies to $384 z^{30}$.

Simplify the Expression 6z6(4z8)36 z ^ { 6 } \left( 4 z ^ { 8 } \right) ^ { 3 }6z6(4z8)3

Simplify the Expression $6 z ^ { 6 } \left( 4 z ^ { 8 } \right) ^ { 3 }$