What is ((2a^2)/(8a^{-2)})^{-1/2} ?

The solution to ((2a^2)/(8a^{-2)})^{-1/2} is 2/(a^2)

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simplify ((2a^2)/(8a^{-2)})^{-1/2}

simplify

(\frac{2 a ^{2}}{8 a ^{- 2}})^{- \frac{1}{2}}

\frac{2}{a ^{2}}

Solution steps

(\frac{2 a ^{2}}{8 a ^{- 2}})^{- \frac{1}{2}}

Apply exponent rule:

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

(\frac{2 a ^{2}}{8 a ^{- 2}})^{- \frac{1}{2}} = \frac{1}{( \frac{2 a ^{2}}{8 a ^{- 2}} ) ^{\frac{1}{2}}}

= \frac{1}{( \frac{2 a ^{2}}{8 a ^{- 2}} ) ^{\frac{1}{2}}}

Simplify

(\frac{2 a ^{2}}{8 a ^{- 2}})^{\frac{1}{2}} : \frac{a ^{2}}{2}

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

Apply the fraction rule:

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

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

q^{3} + a^{3}

- 3 x^{2} > 2 x - 1

\frac{a ^{4}}{a ^{2}}

64 a^{3} + 125

\frac{5}{2} + \frac{3}{8}

What is ((2a^2)/(8a^{-2)})^{-1/2} ?
The solution to ((2a^2)/(8a^{-2)})^{-1/2} is 2/(a^2)