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Popular >

simplify (x^{-4})/(x^{-3)}

Solution

simplify

\frac{x ^{- 4}}{x ^{- 3}}

Solution

\frac{1}{x}

Solution steps

\frac{x ^{- 4}}{x ^{- 3}}

Apply exponent rule:

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

= x^{- 4 - (- 3)}

Apply rule

- (- a) = a

= x^{- 4 + 3}

Add/Subtract the numbers:

- 4 + 3 = - 1

= x^{- 1}

Apply exponent rule:

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

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is (x^{-4})/(x^{-3)} ?
The solution to (x^{-4})/(x^{-3)} is 1/x