Answer
$25x^4$
Work Step by Step
Use properties of exponents to multiply the terms inside the parentheses by the outside exponent. Then continue to simplify after the parentheses are gone.
$(125x^6)^{\frac{2}{3}}$
$(5^3x^6)^{\frac{2}{3}}$
$(5^3)^{\frac{2}{3}}*x^{6*(\frac{2}{3})}$
$5^2*x^4$
$25x^4$