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Popular >

simplify 8^{12}*(8^7)^{-2}

Solution

simplify

8^{12} \cdot (8^{7})^{- 2}

Solution

8^{12} \cdot \frac{1}{8 ^{14}}

+1

Decimal Notation

0.015625

Solution steps

8^{12} (8^{7})^{- 2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(8^{7})^{- 2} = 8^{7 (- 2)}

= 8^{12} \cdot 8^{7 (- 2)}

7 (- 2) = - 14

= 8^{12} \cdot 8^{- 14}

Apply exponent rule:

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

8^{- 14} = \frac{1}{8 ^{14}}

= 8^{12} \cdot \frac{1}{8 ^{14}}

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Frequently Asked Questions (FAQ)

What is 8^{12}*(8^7)^{-2} ?
The solution to 8^{12}*(8^7)^{-2} is 8^{12}*1/(8^{14)}