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Popular >

simplify 1/(a^5a^{-4)}

Solution

simplify

\frac{1}{a ^{5} a ^{- 4}}

Solution

\frac{1}{a}

Solution steps

\frac{1}{a ^{5} a ^{- 4}}

Apply exponent rule:

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

a^{5} a^{- 4} = a^{5 - 4}

= \frac{1}{a ^{5 - 4}}

Subtract the numbers:

5 - 4 = 1

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

Apply exponent rule:

a^{1} = a

a^{1} = a

= \frac{1}{a}

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Frequently Asked Questions (FAQ)

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