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Popular >

simplify sqrt(x^{3/4)}x^{-1}

Solution

simplify

x^{\frac{3}{4}} x^{- 1}

Solution

\frac{1}{x ^{\frac{5}{8}}}

Solution steps

x^{\frac{3}{4}} x^{- 1}

Simplify

x^{\frac{3}{4}} : x^{\frac{3}{8}}

= x^{\frac{3}{8}} x^{- 1}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{3}{8}} x^{- 1} = x^{\frac{3}{8} - 1}

= x^{\frac{3}{8} - 1}

\frac{3}{8} - 1 = - \frac{5}{8}

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

Apply exponent rule:

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

x^{- \frac{5}{8}} = \frac{1}{x ^{\frac{5}{8}}}

= \frac{1}{x ^{\frac{5}{8}}}

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Frequently Asked Questions (FAQ)

What is sqrt(x^{3/4)}x^{-1} ?
The solution to sqrt(x^{3/4)}x^{-1} is 1/(x^{5/8)}