Answer:
First option on the list: [tex]\frac{g^{15}}{8h^6}[/tex]
Step-by-step explanation:
Use the distributive property of exponents to get rid of parentheses in the algebraic expression, evaluate the powers of the numerical factors, and finally, cancel common factors in numerator and denominator to arrive at the final answer:
[tex]\frac{(2g^5)^3}{(4h^2)^3} =\frac{2^3g^{15}}{4^3h^6} =\frac{8g^{15}}{64h^6} =\frac{g^{15}}{8h^6}[/tex]