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Popular >

simplify (x^{-7})/(x^{-4)}

Solution

simplify

\frac{x ^{- 7}}{x ^{- 4}}

Solution

\frac{1}{x ^{3}}

Solution steps

\frac{x ^{- 7}}{x ^{- 4}}

Apply exponent rule:

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

= x^{- 7 - (- 4)}

Apply rule

- (- a) = a

= x^{- 7 + 4}

Add/Subtract the numbers:

- 7 + 4 = - 3

= x^{- 3}

Apply exponent rule:

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

= \frac{1}{x ^{3}}

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Frequently Asked Questions (FAQ)

What is (x^{-7})/(x^{-4)} ?
The solution to (x^{-7})/(x^{-4)} is 1/(x^3)