What is (0.001)*(6*10^{-5}) ?

The solution to (0.001)*(6*10^{-5}) is 0.00000006

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simplify (0.001)(610^{-5})

simplify

(0.001) \cdot (6 \cdot 1 0^{- 5})

0.00000006

Solution steps

(0.001) (6 \cdot 1 0^{- 5})

Apply rule:

(a) = a

(0.001) = 0.001

= 0.001 \cdot 6 \cdot 1 0^{- 5}

Multiply the numbers:

0.001 \cdot 6 = 0.006

= 0.006 \cdot 1 0^{- 5}

= 1 0^{- 5} \cdot 0.006

Apply exponent rule:

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

1 0^{- 5} = \frac{1}{1 0 ^{5}}

= \frac{1}{1 0 ^{5}} \cdot 0.006

1 0^{5} = 100000

= \frac{1}{100000} \cdot 0.006

\frac{1}{100000} \cdot 0.006 = \frac{0.006}{100000}

= \frac{0.006}{100000}

Divide the numbers:

\frac{0.006}{100000} = 0.00000006

= 0.00000006

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