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Popular >

simplify ,x^{-6}x^{-1/2}

Solution

simplify

x^{- 6} x^{- \frac{1}{2}}

Solution

\frac{1}{x ^{\frac{13}{2}}}

Solution steps

x^{- 6} x^{- \frac{1}{2}}

Apply exponent rule:

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

x^{- 6} x^{- \frac{1}{2}} = x^{- 6 - \frac{1}{2}}

= x^{- 6 - \frac{1}{2}}

- 6 - \frac{1}{2} = - \frac{13}{2}

= x^{- \frac{13}{2}}

Apply exponent rule:

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

x^{- \frac{13}{2}} = \frac{1}{x ^{\frac{13}{2}}}

= \frac{1}{x ^{\frac{13}{2}}}

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Frequently Asked Questions (FAQ)

What is ,x^{-6}x^{-1/2} ?
The solution to ,x^{-6}x^{-1/2} is 1/(x^{13/2)}