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Popular >

simplify (6^{-5})/(10^{-3)}

Solution

simplify

\frac{6 ^{- 5}}{1 0 ^{- 3}}

Solution

\frac{125}{972}

+1

Decimal Notation

0.12860 \dots

Solution steps

\frac{6 ^{- 5}}{1 0 ^{- 3}}

Factor

6^{- 5} : 2^{- 5} \cdot 3^{- 5}

= \frac{2 ^{- 5} \cdot 3 ^{- 5}}{1 0 ^{- 3}}

Factor

1 0^{- 3} : 2^{- 3} \cdot 5^{- 3}

= \frac{2 ^{- 5} \cdot 3 ^{- 5}}{2 ^{- 3} \cdot 5 ^{- 3}}

\frac{2 ^{- 5}}{2 ^{- 3}} = \frac{1}{2 ^{2}}

= \frac{3 ^{- 5}}{2 ^{2} \cdot 5 ^{- 3}}

\frac{3 ^{- 5}}{2 ^{2} \cdot 5 ^{- 3}} = \frac{125}{972}

= \frac{125}{972}

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Frequently Asked Questions (FAQ)

What is (6^{-5})/(10^{-3)} ?
The solution to (6^{-5})/(10^{-3)} is 125/972