## College Algebra (6th Edition)

$25$
$$125^{\frac{2}{3}}$$ When converting from a rational exponent to a radical, the numerator is the exponent, and the denominator is the radicals index. It may be easier to have the entire radical raised to the exponent rather than the radicand. As example: $\sqrt[3]{125^2}$ would be very difficult to solve, therefore: $$=(\sqrt[3]{125})^{2}$$ $$=(5)^{2}$$ $$=25$$ is much easier.