Step-by-step Solution

Solve the product power $\sqrt[3]{x^{15}y^{20}z^{25}}$

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Step-by-step explanation

Problem to solve:

$\left(x^{15} y^{20} z^{25}\right)^{\frac{1}{3}}$

Learn how to solve power of a product problems step by step online.

$\sqrt[3]{x^{15}}\sqrt[3]{y^{20}z^{25}}$

Unlock this full step-by-step solution!

Learn how to solve power of a product problems step by step online. Solve the product power (x^15y^20*z^25)^0.3333333333333333. The power of a product is equal to the product of it's factors raised to the same power. Applying the power of a power property. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$x^{5}\sqrt[3]{y^{20}}\sqrt[3]{z^{25}}$
$\left(x^{15} y^{20} z^{25}\right)^{\frac{1}{3}}$

Main topic:

Power of a product

Time to solve it:

~ 0.04 s (SnapXam)