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Popular >

simplify x^6x^{-5}x^{-7}

Solution

simplify

x^{6} \cdot x^{- 5} \cdot x^{- 7}

Solution

\frac{1}{x ^{6}}

Solution steps

x^{6} x^{- 5} x^{- 7}

Apply exponent rule:

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

x^{6} x^{- 5} x^{- 7} = x^{6 - 5 - 7}

= x^{6 - 5 - 7}

Subtract the numbers:

6 - 5 - 7 = - 6

= x^{- 6}

Apply exponent rule:

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

x^{- 6} = \frac{1}{x ^{6}}

= \frac{1}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is x^6*x^{-5}*x^{-7} ?
The solution to x^6*x^{-5}*x^{-7} is 1/(x^6)