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Popular >

simplify x^{-8}*x^2

Solution

simplify

x^{- 8} \cdot x^{2}

Solution

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

Solution steps

x^{- 8} x^{2}

Apply exponent rule:

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

x^{- 8} x^{2} = x^{- 8 + 2}

= x^{- 8 + 2}

Add/Subtract the numbers:

- 8 + 2 = - 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^{-8}*x^2 ?
The solution to x^{-8}*x^2 is 1/(x^6)