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Popular >

simplify x^2\times x^{-5}

Solution

simplify

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

Solution

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

Solution steps

x^{2} x^{- 5}

Apply exponent rule:

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

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

= x^{2 - 5}

Subtract the numbers:

2 - 5 = - 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^2\times x^{-5} ?
The solution to x^2\times x^{-5} is 1/(x^3)