What is [xy^2]^4*[\sqrt[4]{x^3y^5}]^{-4} ?

The solution to [xy^2]^4*[\sqrt[4]{x^3y^5}]^{-4} is xy^3

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simplify [xy^2]^4*[\sqrt[4]{x^3y^5}]^{-4}

simplify

x y^{3}

Solution steps

Simplify

(x y^{2})^{4} : x^{4} y^{8}

Simplify

= x^{4} y^{8} \frac{1}{x ^{3} y ^{5}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{4} y ^{8} \cdot 1}{x ^{3} y ^{5}}

Apply rule:

a \cdot 1 = a

x^{4} y^{8} \cdot 1 = x^{4} y^{8}

= \frac{x ^{4} y ^{8}}{x ^{3} y ^{5}}

Simplify

\frac{x ^{4}}{x ^{3}} : x

= \frac{x y ^{8}}{y ^{5}}

Simplify

\frac{y ^{8}}{y ^{5}} : y^{3}

= x y^{3}

0.00067 - 2.3 \cdot 1 0^{- 5}

0.8 \cdot 15 \cdot 9.8

\frac{1 - \frac{1}{x ^{2}}}{\frac{1}{x} - 1}

4 (x^{- 3} y^{4}) (- 3 x y^{2})^{2}

What is [xy^2]^4*[\sqrt[4]{x^3y^5}]^{-4} ?
The solution to [xy^2]^4*[\sqrt[4]{x^3y^5}]^{-4} is xy^3