# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\left(7x^{\frac{2}{3}}\left(x y^{121\left(-1\right)}\right)^{\frac{1}{2}}\right)^4$

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

$\left(7x^{\frac{2}{3}}\left(xy^{-121}\right)^{\frac{1}{2}}\right)^4$

Learn how to solve power of a product problems step by step online. Solve the product power (7x^(2/3)*(xy^(121*-))^(1/2))^4. Multiply 121 times -1. Divide 2 by 3. Divide 1 by 2. The power of a product is equal to the product of it's factors raised to the same power.

$\frac{2401\sqrt[3]{x^{14}}}{y^{242}}$
$\left(7x^{\frac{2}{3}}\left(x y^{121\left(-1\right)}\right)^{\frac{1}{2}}\right)^4$