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Popular >

simplify x^{-7}*x^5

Solution

simplify

x^{- 7} \cdot x^{5}

Solution

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

Solution steps

x^{- 7} x^{5}

Apply exponent rule:

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

x^{- 7} x^{5} = x^{- 7 + 5}

= x^{- 7 + 5}

Add/Subtract the numbers:

- 7 + 5 = - 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^{-7}*x^5 ?
The solution to x^{-7}*x^5 is 1/(x^2)