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Popular >

simplify x^{-3}*x

Solution

simplify

x^{- 3} \cdot x

Solution

\frac{1}{x ^{2}}

Solution steps

x^{- 3} x

Apply exponent rule:

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

x^{- 3} x = x^{- 3 + 1}

= x^{- 3 + 1}

Add/Subtract the numbers:

- 3 + 1 = - 2

= x^{- 2}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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