Answer: [tex]512a^{15}[/tex]
Step-by-step explanation:
[tex](a^5*2^3)^3[/tex]
First, lets solve the inside of the parenthesis
[tex](a^5*8)^3[/tex]
Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case [tex](a^5)^3=a^{15}[/tex]
[tex]a^{15}*512[/tex]
Simplify
[tex]512a^{15}[/tex]