Step-by-step Solution

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

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Step-by-step explanation

Problem to solve:

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{121\left(-1\right)}\right)^a\right)^2\right)^{\frac{1}{a}}$

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

$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{-121}\right)^a\right)^2\right)^{\frac{1}{a}}$

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^a)/x)^(2a)x^(121*-)^a^2)^(1/a). Multiply 121 times -1. Simplify the fraction by x. Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}. Solve the product 2a\left(a-1\right).

Final Answer

$x^{\frac{2a^2-244a}{a}}$
$\left(\left(\frac{x^a}{x}\right)^{2a}\left(\left(x^{121\left(-1\right)}\right)^a\right)^2\right)^{\frac{1}{a}}$

Main topic:

Power of a product

Time to solve it:

~ 0.1 s (SnapXam)