** Final Answer

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** Step-by-step Solution **

** Specify the solving method

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Simplify $\left(\left(x^{-121}\right)^a\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $a$ and $n$ equals $2$

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$\left(\left(\frac{x^a}{x}\right)^{2a}x^{-242a}\right)^{\frac{1}{a}}$

Learn how to solve problems step by step online. Solve the product power (((x^a)/x)^(2a)x^(-121)^a^2)^(1/a). Simplify \left(\left(x^{-121}\right)^a\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals a and n equals 2. Simplify the fraction \frac{x^a}{x} by x. Simplify \left(x^{\left(a-1\right)}\right)^{2a} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals a-1 and n equals 2a. Apply the exponent property of product of powers: x^a\cdot x^b=x^{a+b}.

** Final Answer

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