What is (x^{-5}y^3z^{10})^{-3/5} ?

The solution to (x^{-5}y^3z^{10})^{-3/5} is (x^3)/(z^6y^{9/5)}

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simplify (x^{-5}y^3z^{10})^{-3/5}

simplify

(x^{- 5} y^{3} z^{10})^{- \frac{3}{5}}

\frac{x ^{3}}{z ^{6} y ^{\frac{9}{5}}}

Solution steps

(x^{- 5} y^{3} z^{10})^{- \frac{3}{5}}

Apply exponent rule:

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

(x^{- 5} y^{3} z^{10})^{- \frac{3}{5}} = \frac{1}{( x ^{- 5} y ^{3} z ^{10} ) ^{\frac{3}{5}}}

= \frac{1}{( x ^{- 5} y ^{3} z ^{10} ) ^{\frac{3}{5}}}

Simplify

(x^{- 5} y^{3} z^{10})^{\frac{3}{5}} : \frac{z ^{6} y ^{\frac{9}{5}}}{x ^{3}}

= \frac{1}{\frac{z ^{6} y ^{\frac{9}{5}}}{x ^{3}}}

Apply the fraction rule:

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

= \frac{x ^{3}}{z ^{6} y ^{\frac{9}{5}}}

\frac{x}{3} - 1 = 4

\frac{\frac{7}{4}}{\frac{3}{4}}

z^{5} + 5 z^{4} - 25 z^{3} - 125 z^{2}

11 t - 1.86 t^{2} = 0

3 x^{2} - 10 x - 1 = 0

What is (x^{-5}y^3z^{10})^{-3/5} ?
The solution to (x^{-5}y^3z^{10})^{-3/5} is (x^3)/(z^6y^{9/5)}