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Popular >

simplify (x^{-8})/(x^{-7)}

Solution

simplify

\frac{x ^{- 8}}{x ^{- 7}}

Solution

\frac{1}{x}

Solution steps

\frac{x ^{- 8}}{x ^{- 7}}

Apply exponent rule:

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

= x^{- 8 - (- 7)}

Apply rule

- (- a) = a

= x^{- 8 + 7}

Add/Subtract the numbers:

- 8 + 7 = - 1

= x^{- 1}

Apply exponent rule:

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

= \frac{1}{x}

Popular Examples

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2 k^{2} + k - 6 = 0

Frequently Asked Questions (FAQ)

What is (x^{-8})/(x^{-7)} ?
The solution to (x^{-8})/(x^{-7)} is 1/x