What is ((x^5)/(y-2))^{-3} ?

The solution to ((x^5)/(y-2))^{-3} is ((y-2)^3)/(x^{15)}

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simplify ((x^5)/(y-2))^{-3}

simplify

(\frac{x ^{5}}{y - 2})^{- 3}

\frac{( y - 2 ) ^{3}}{x ^{15}}

Solution steps

(\frac{x ^{5}}{y - 2})^{- 3}

Apply exponent rule:

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

(\frac{x ^{5}}{y - 2})^{- 3} = \frac{1}{( \frac{x ^{5}}{y - 2} ) ^{3}}

= \frac{1}{( \frac{x ^{5}}{y - 2} ) ^{3}}

Simplify

(\frac{x ^{5}}{y - 2})^{3} : \frac{x ^{15}}{( y - 2 ) ^{3}}

= \frac{1}{\frac{x ^{15}}{( y - 2 ) ^{3}}}

Apply the fraction rule:

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

= \frac{( y - 2 ) ^{3}}{x ^{15}}

(- 6 + 5 i) + (- 7 + i)

\frac{\frac{x ^{2} - 9}{3 x ^{2} + 8 x - 3}}{\frac{x - 3}{x + 2}}

(x - 1)^{2} - 4

ln (ln (e^{e}))

What is ((x^5)/(y-2))^{-3} ?
The solution to ((x^5)/(y-2))^{-3} is ((y-2)^3)/(x^{15)}