What is (2*10^{-3})(0.0005) ?

The solution to (2*10^{-3})(0.0005) is 0.000001

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simplify (2*10^{-3})(0.0005)

simplify

(2 \cdot 1 0^{- 3}) (0.0005)

0.000001

Solution steps

(2 \cdot 1 0^{- 3}) (0.0005)

Apply rule:

(a) = a

(0.0005) = 0.0005

= 2 \cdot 1 0^{- 3} \cdot 0.0005

Multiply the numbers:

2 \cdot 0.0005 = 0.001

= 0.001 \cdot 1 0^{- 3}

= 1 0^{- 3} \cdot 0.001

Apply exponent rule:

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

1 0^{- 3} = \frac{1}{1 0 ^{3}}

= \frac{1}{1 0 ^{3}} \cdot 0.001

1 0^{3} = 1000

= \frac{1}{1000} \cdot 0.001

\frac{1}{1000} \cdot 0.001 = \frac{0.001}{1000}

= \frac{0.001}{1000}

Divide the numbers:

\frac{0.001}{1000} = 0.000001

= 0.000001

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