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Popular >

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

Solution

simplify

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

Solution

\frac{x}{4}

Solution steps

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

Apply exponent rule:

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

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

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

Multiply

4 x^{- 1} : \frac{4}{x}

= \frac{1}{\frac{4}{x}}

Apply the fraction rule:

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

= \frac{x}{4}

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Frequently Asked Questions (FAQ)

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