What is ((4x^{-2})^{-1})/(4x^2) ?

The solution to ((4x^{-2})^{-1})/(4x^2) is 1/16

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simplify ((4x^{-2})^{-1})/(4x^2)

simplify

\frac{( 4 x ^{- 2} ) ^{- 1}}{4 x ^{2}}

\frac{1}{16}

Decimal Notation

0.0625

Solution steps

\frac{( 4 x ^{- 2} ) ^{- 1}}{4 x ^{2}}

Simplify

(4 x^{- 2})^{- 1} : 4^{- 1} x^{2}

= \frac{4 ^{- 1} x ^{2}}{4 x ^{2}}

\frac{4 ^{- 1}}{4} = \frac{1}{4 ^{2}}

= \frac{x ^{2}}{4 ^{2} x ^{2}}

Cancel the common factor:

x^{2}

= \frac{1}{4 ^{2}}

4^{2} = 16

= \frac{1}{16}

\frac{1}{5} \div \frac{8}{7}

37. 2^{2}

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

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

- \frac{1}{3} + \frac{1}{24}

What is ((4x^{-2})^{-1})/(4x^2) ?
The solution to ((4x^{-2})^{-1})/(4x^2) is 1/16