What is 10*10^{-6}*0.0001 ?

The solution to 10*10^{-6}*0.0001 is 0.000000001

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simplify 1010^{-6}0.0001

simplify

10 \cdot 1 0^{- 6} \cdot 0.0001

0.000000001

Solution steps

10 \cdot 1 0^{- 6} \cdot 0.0001

Multiply the numbers:

10 \cdot 0.0001 = 0.001

= 0.001 \cdot 1 0^{- 6}

= 1 0^{- 6} \cdot 0.001

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= \frac{1}{1 0 ^{6}} \cdot 0.001

1 0^{6} = 1000000

= \frac{1}{1000000} \cdot 0.001

\frac{1}{1000000} \cdot 0.001 = \frac{0.001}{1000000}

= \frac{0.001}{1000000}

Divide the numbers:

\frac{0.001}{1000000} = 0.000000001

= 0.000000001

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