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Popular >

simplify a^{-1}sqrt(a)

Solution

simplify

a^{- 1} a

Solution

\frac{1}{a}

Solution steps

a^{- 1} a

Apply radical rule:

a = a^{\frac{1}{2}}

a = a^{\frac{1}{2}}

= a^{- 1} a^{\frac{1}{2}}

Apply exponent rule:

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

a^{- 1} a^{\frac{1}{2}} = a^{- 1 + \frac{1}{2}}

= a^{- 1 + \frac{1}{2}}

- 1 + \frac{1}{2} = - \frac{1}{2}

= a^{- \frac{1}{2}}

Apply exponent rule:

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

a^{- \frac{1}{2}} = \frac{1}{a ^{\frac{1}{2}}}

= \frac{1}{a ^{\frac{1}{2}}}

Apply exponent rule:

a^{\frac{1}{2}} = a

a^{\frac{1}{2}} = a

= \frac{1}{a}

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Frequently Asked Questions (FAQ)

What is a^{-1}sqrt(a) ?
The solution to a^{-1}sqrt(a) is 1/(sqrt(a))