Rewrite the following expressions without using radicals or negative exponents. Simplify when possible. root(5)(x^20y^-4)

Rewrite the following expressions without using radicals or negative exponents. Simplify when possible. $\sqrt[5]{{x}^{20}{y}^{-4}}$
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dessinemoie
The given radical can be rewritten as,
$\sqrt[5]{{x}^{20}{y}^{-4}}={\left({x}^{20}{y}^{-4}\right)}^{\frac{1}{5}}⟨.\sqrt[n]{a}={\left(a\right)}^{\frac{1}{n}}$
The radical can be further simplified as,
$\sqrt[5]{{x}^{20}{y}^{-4}}={\left({x}^{20}{y}^{-4}\right)}^{\frac{1}{5}}={\left({x}^{20}\right)}^{\frac{1}{5}}\cdot {\left({y}^{-4}\right)}^{\frac{1}{5}}={x}^{4}{y}^{-\frac{4}{5}}={\left(x{y}^{-\frac{1}{5}}\right)}^{4}$