Question

( a^5 ⋅ 2^3 )^3 = ?
Please help and explain.

Answer 1

Answer: $512a^{15}$

Step-by-step explanation:

$(a^5*2^3)^3$

First, lets solve the inside of the parenthesis

$(a^5*8)^3$

Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case $(a^5)^3=a^{15}$

$a^{15}*512$

Simplify

$512a^{15}$