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Popular >

simplify x^{-5}*x^2

Solution

simplify

x^{- 5} \cdot x^{2}

Solution

\frac{1}{x ^{3}}

Solution steps

x^{- 5} x^{2}

Apply exponent rule:

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

x^{- 5} x^{2} = x^{- 5 + 2}

= x^{- 5 + 2}

Add/Subtract the numbers:

- 5 + 2 = - 3

= x^{- 3}

Apply exponent rule:

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

x^{- 3} = \frac{1}{x ^{3}}

= \frac{1}{x ^{3}}

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Frequently Asked Questions (FAQ)

What is x^{-5}*x^2 ?
The solution to x^{-5}*x^2 is 1/(x^3)