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Popular >

simplify (3x^{-5})/((2x^{-2))}

Solution

simplify

\frac{3 x ^{- 5}}{( 2 x ^{- 2} )}

Solution

\frac{3}{2 x ^{3}}

Solution steps

\frac{3 x ^{- 5}}{2 x ^{- 2}}

Apply exponent rule:

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

\frac{x ^{- 5}}{x ^{- 2}} = \frac{1}{x ^{- 2 - (- 5)}}

= \frac{3}{2 x ^{- 2 - (- 5)}}

- 2 - (- 5) = 3

= \frac{3}{2 x ^{3}}

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Frequently Asked Questions (FAQ)

What is (3x^{-5})/((2x^{-2))} ?
The solution to (3x^{-5})/((2x^{-2))} is 3/(2x^3)