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Popular >

simplify x^3*x^{-7}

Solution

simplify

x^{3} \cdot x^{- 7}

Solution

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

Solution steps

x^{3} x^{- 7}

Apply exponent rule:

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

x^{3} x^{- 7} = x^{3 - 7}

= x^{3 - 7}

Subtract the numbers:

3 - 7 = - 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^3*x^{-7} ?
The solution to x^3*x^{-7} is 1/(x^4)