Final Answer
$x^{5}\sqrt[3]{y^{20}}\sqrt[3]{z^{25}}$
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Step-by-step Solution
Problem to solve:
$\sqrt[3]{x^{15}y^{20}z^{25}}$
Specify the solving method
1
The power of a product is equal to the product of it's factors raised to the same power
$x^{5}\sqrt[3]{y^{20}}\sqrt[3]{z^{25}}$
Learn how to solve power of a product problems step by step online.
$x^{5}\sqrt[3]{y^{20}}\sqrt[3]{z^{25}}$
Learn how to solve power of a product problems step by step online. Solve the product power (x^15y^20z^25)^1/3. The power of a product is equal to the product of it's factors raised to the same power. . Simplify \sqrt[3]{x^{15}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 15 and n equals \frac{1}{3}. Multiply 15 times \frac{1}{3}.
Final Answer
$x^{5}\sqrt[3]{y^{20}}\sqrt[3]{z^{25}}$