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Popular >

simplify (8x)^7(8x)^{-6}

Solution

simplify

(8 x)^{7} (8 x)^{- 6}

Solution

8 x

Solution steps

(8 x)^{7} (8 x)^{- 6}

Apply exponent rule:

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

(8 x)^{7} (8 x)^{- 6} = (8 x)^{7 - 6}

= (8 x)^{7 - 6}

Subtract the numbers:

7 - 6 = 1

= (8 x)^{1}

Apply exponent rule:

a^{1} = a

= 8 x

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Frequently Asked Questions (FAQ)

What is (8x)^7(8x)^{-6} ?
The solution to (8x)^7(8x)^{-6} is 8x