What is (-6x^{-2}y^{-3})^{-2} ?

The solution to (-6x^{-2}y^{-3})^{-2} is (x^4y^6)/(36)

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simplify (-6x^{-2}y^{-3})^{-2}

simplify

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

\frac{x ^{4} y ^{6}}{36}

Solution steps

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

Apply exponent rule:

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

(- 6 x^{- 2} y^{- 3})^{- 2} = \frac{1}{( - 6 x ^{- 2} y ^{- 3} ) ^{2}}

= \frac{1}{( - 6 x ^{- 2} y ^{- 3} ) ^{2}}

Simplify

(- 6 x^{- 2} y^{- 3})^{2} : \frac{36}{x ^{4} y ^{6}}

= \frac{1}{\frac{36}{x ^{4} y ^{6}}}

Apply the fraction rule:

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

= \frac{x ^{4} y ^{6}}{36}

\frac{75}{3}

\frac{2}{x} + \frac{3}{x - 1}

\frac{1}{2} (1 + cos (2 x))

\frac{63}{27}

2 - 52

What is (-6x^{-2}y^{-3})^{-2} ?
The solution to (-6x^{-2}y^{-3})^{-2} is (x^4y^6)/(36)