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Popular >

simplify 6^{-8}*6^5

Solution

simplify

6^{- 8} \cdot 6^{5}

Solution

\frac{1}{216}

+1

Solution steps

6^{- 8} \cdot 6^{5}

Apply exponent rule:

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

6^{- 8} \cdot 6^{5} = 6^{- 8 + 5}

= 6^{- 8 + 5}

Add/Subtract the numbers:

- 8 + 5 = - 3

= 6^{- 3}

Apply exponent rule:

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

6^{- 3} = \frac{1}{6 ^{3}}

= \frac{1}{6 ^{3}}

6^{3} = 216

= \frac{1}{216}

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Frequently Asked Questions (FAQ)

What is 6^{-8}*6^5 ?
The solution to 6^{-8}*6^5 is 1/216