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Simplify $\left(\sqrt[5]{x^3y^{-121}}\right)^{-1101}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{5}$ and $n$ equals $-1101$
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$\left(x^3y^{-121}\right)^{-\frac{1101}{5}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (x^3y^(-121))^1/5^(-1101). Simplify \left(\sqrt[5]{x^3y^{-121}}\right)^{-1101} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{5} and n equals -1101. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. The power of a product is equal to the product of it's factors raised to the same power. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.