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Popular >

simplify 8^{-7}*8^5

Solution

simplify

8^{- 7} \cdot 8^{5}

Solution

\frac{1}{64}

+1

Decimal Notation

0.015625

Solution steps

8^{- 7} \cdot 8^{5}

Apply exponent rule:

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

8^{- 7} \cdot 8^{5} = 8^{- 7 + 5}

= 8^{- 7 + 5}

Add/Subtract the numbers:

- 7 + 5 = - 2

= 8^{- 2}

Apply exponent rule:

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

8^{- 2} = \frac{1}{8 ^{2}}

= \frac{1}{8 ^{2}}

8^{2} = 64

= \frac{1}{64}

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Frequently Asked Questions (FAQ)

What is 8^{-7}*8^5 ?
The solution to 8^{-7}*8^5 is 1/64