What is (-1)/(a^{-2)} ?

The solution to (-1)/(a^{-2)} is -a^2

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simplify (-1)/(a^{-2)}

simplify

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

- a^{2}

Solution steps

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

Apply the fraction rule:

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

= - \frac{1}{a ^{- 2}}

Apply exponent rule:

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

a^{- 2} = \frac{1}{a ^{2}}

= - \frac{1}{\frac{1}{a ^{2}}}

Apply the fraction rule:

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

\frac{1}{\frac{1}{a ^{2}}} = \frac{a ^{2}}{1}

= - \frac{a ^{2}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= - a^{2}

1 2^{2} + x^{2} = 1 5^{2}

3 x - 9 \geq - 3

8 r^{2} + 12 r

- 4 x > - 8

- 5 x^{2} + 30 x - 40