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Popular >

simplify x^{-9}*x^5

Solution

simplify

x^{- 9} \cdot x^{5}

Solution

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

Solution steps

x^{- 9} x^{5}

Apply exponent rule:

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

x^{- 9} x^{5} = x^{- 9 + 5}

= x^{- 9 + 5}

Add/Subtract the numbers:

- 9 + 5 = - 4

= x^{- 4}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

What is x^{-9}*x^5 ?
The solution to x^{-9}*x^5 is 1/(x^4)