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Popular >

simplify x^{-3}\times x^2

Solution

simplify

x^{- 3} \cdot x^{2}

Solution

\frac{1}{x}

Solution steps

x^{- 3} x^{2}

Apply exponent rule:

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

x^{- 3} x^{2} = x^{- 3 + 2}

= x^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= x^{- 1}

Apply exponent rule:

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

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

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is x^{-3}\times x^2 ?
The solution to x^{-3}\times x^2 is 1/x