Step-by-step Solution

Solve the product power $\left(x\left(x^{2\left(x\left(x^2\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}}\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}$

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Step-by-step explanation

Problem to solve:

$\left(x\left(x^{2\left(x\left(x^2\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}}\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}$

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

$\left(x\left(x^{2\left(x\sqrt[3]{x^2}\right)^{\frac{1}{3}}}\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}$

Unlock this full step-by-step solution!

Learn how to solve power of a product problems step by step online. Solve the product power (xx^(2(xx^2^(1/3))^(1/3))^(1/3))^(1/3). Divide 1 by 3. Applying the power of a power property. When multiplying exponents with same base you can add the exponents. The power of a product is equal to the product of it's factors raised to the same power.

Final Answer

$\sqrt[3]{x}\sqrt[9]{x^{2\sqrt[9]{x^{5}}}}$

Problem Analysis

$\left(x\left(x^{2\left(x\left(x^2\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}}\right)^{\frac{1}{3}}\right)^{\frac{1}{3}}$

Main topic:

Power of a product

Time to solve it:

~ 0.04 seconds