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Popular >

simplify a*a^{-5}

Solution

simplify

a \cdot a^{- 5}

Solution

\frac{1}{a ^{4}}

Solution steps

a a^{- 5}

Apply exponent rule:

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

a a^{- 5} = a^{1 - 5}

= a^{1 - 5}

Subtract the numbers:

1 - 5 = - 4

= a^{- 4}

Apply exponent rule:

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

a^{- 4} = \frac{1}{a ^{4}}

= \frac{1}{a ^{4}}

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Frequently Asked Questions (FAQ)

What is a*a^{-5} ?
The solution to a*a^{-5} is 1/(a^4)