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Popular >

simplify (x^{-8})/(x^{-5)}

Solution

simplify

\frac{x ^{- 8}}{x ^{- 5}}

Solution

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

Solution steps

\frac{x ^{- 8}}{x ^{- 5}}

Apply exponent rule:

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

= x^{- 8 - (- 5)}

Apply rule

- (- a) = a

= x^{- 8 + 5}

Add/Subtract the numbers:

- 8 + 5 = - 3

= x^{- 3}

Apply exponent rule:

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

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

Popular Examples

- 3 (1 - 6 x) = 18 - 3 x

simplify (8^{-2})/(4^0)simplify

\frac{8 ^{- 2}}{4 ^{0}}

factor 4x^2-14x-44 factor

4 x^{2} - 14 x - 44

125*(0.11)/(0.11^{2.37498)}=x

125 \cdot \frac{0.11}{0.1 1 ^{2.37498}} = x

simplify (402.12)/(2pi)simplify

\frac{402.12}{2 π}

Frequently Asked Questions (FAQ)

What is (x^{-8})/(x^{-5)} ?
The solution to (x^{-8})/(x^{-5)} is 1/(x^3)