What is ((256x^{20})/(y^8))^{-1/4} ?

The solution to ((256x^{20})/(y^8))^{-1/4} is (y^2)/(4x^5)

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simplify ((256x^{20})/(y^8))^{-1/4}

simplify

(\frac{256 x ^{20}}{y ^{8}})^{- \frac{1}{4}}

\frac{y ^{2}}{4 x ^{5}}

Solution steps

(\frac{256 x ^{20}}{y ^{8}})^{- \frac{1}{4}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{256 x ^{20}}{y ^{8}})^{- \frac{1}{4}} = \frac{1}{( \frac{256 x ^{20}}{y ^{8}} ) ^{\frac{1}{4}}}

= \frac{1}{( \frac{256 x ^{20}}{y ^{8}} ) ^{\frac{1}{4}}}

Simplify

(\frac{256 x ^{20}}{y ^{8}})^{\frac{1}{4}} : \frac{4 x ^{5}}{y ^{2}}

= \frac{1}{\frac{4 x ^{5}}{y ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{y ^{2}}{4 x ^{5}}

- 9 x^{0}

\frac{\frac{5}{x - 1} - \frac{2}{x + 1}}{\frac{x}{x - 1} + \frac{1}{x + 1}}

(\frac{2}{a})^{3} (\frac{4 b ^{3}}{3 a})^{- 4}

\frac{- 3 x}{x}

\frac{x - c}{a + b} + \frac{x - b}{a + c} + \frac{x - a}{b + c}

What is ((256x^{20})/(y^8))^{-1/4} ?
The solution to ((256x^{20})/(y^8))^{-1/4} is (y^2)/(4x^5)