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Popular >

simplify 5^{-6}*5^{-1}

Solution

simplify

5^{- 6} \cdot 5^{- 1}

Solution

\frac{1}{78125}

+1

Decimal Notation

0.0000128

Solution steps

5^{- 6} \cdot 5^{- 1}

Apply exponent rule:

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

5^{- 6} \cdot 5^{- 1} = 5^{- 6 - 1}

= 5^{- 6 - 1}

Subtract the numbers:

- 6 - 1 = - 7

= 5^{- 7}

Apply exponent rule:

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

5^{- 7} = \frac{1}{5 ^{7}}

= \frac{1}{5 ^{7}}

5^{7} = 78125

= \frac{1}{78125}

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Frequently Asked Questions (FAQ)

What is 5^{-6}*5^{-1} ?
The solution to 5^{-6}*5^{-1} is 1/78125