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Popular >

simplify (3*10^{-3})(0.4)

Solution

simplify

(3 \cdot 1 0^{- 3}) (0.4)

Solution

0.0012

Solution steps

(3 \cdot 1 0^{- 3}) (0.4)

Apply rule:

(a) = a

(0.4) = 0.4

= 3 \cdot 1 0^{- 3} \cdot 0.4

Multiply the numbers:

3 \cdot 0.4 = 1.2

= 1.2 \cdot 1 0^{- 3}

= 1 0^{- 3} \cdot 1.2

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{3}} \cdot 1.2

1 0^{3} = 1000

= \frac{1}{1000} \cdot 1.2

\frac{1}{1000} \cdot 1.2 = \frac{1.2}{1000}

= \frac{1.2}{1000}

Divide the numbers:

\frac{1.2}{1000} = 0.0012

= 0.0012

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Frequently Asked Questions (FAQ)

What is (3*10^{-3})(0.4) ?
The solution to (3*10^{-3})(0.4) is 0.0012