Step-by-step Solution

Solve the product power $\left(7x^{\frac{2}{3}}\left(xy^{121\cdot -1}\right)^{\frac{1}{2}}\right)^4$

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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.

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

Unlock this full step-by-step solution!

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.

Final Answer

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

Main topic:

Power of a product

Time to solve it:

~ 0.08 s (SnapXam)