Final answer to the problem
$\sqrt[3]{\left(5\right)^{4}}\sqrt[3]{\left(5\right)^{2}}$
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Step-by-step Solution
Learn how to solve arithmetic problems step by step online. Simplify the expression 125^(2/3). Rewrite 125 as a power. Split 5^{3} as a product of powers of 5. The power of a product is equal to the product of it's factors raised to the same power. Simplify \sqrt[3]{\left(5^{2}\right)^{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{2}{3}.
Final answer to the problem
$\sqrt[3]{\left(5\right)^{4}}\sqrt[3]{\left(5\right)^{2}}$
Exact Numeric Answer
$25$
