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Popular >

simplify (0.1)(1*10^{-3})

Solution

simplify

(0.1) (1 \cdot 1 0^{- 3})

Solution

0.0001

Solution steps

(0.1) (1 \cdot 1 0^{- 3})

Apply rule:

(a) = a

(0.1) = 0.1

= 0.1 \cdot 1 \cdot 1 0^{- 3}

Multiply the numbers:

0.1 \cdot 1 = 0.1

= 0.1 \cdot 1 0^{- 3}

= 1 0^{- 3} \cdot 0.1

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{3}} \cdot 0.1

1 0^{3} = 1000

= \frac{1}{1000} \cdot 0.1

\frac{1}{1000} \cdot 0.1 = \frac{0.1}{1000}

= \frac{0.1}{1000}

Divide the numbers:

\frac{0.1}{1000} = 0.0001

= 0.0001

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Frequently Asked Questions (FAQ)

What is (0.1)(1*10^{-3}) ?
The solution to (0.1)(1*10^{-3}) is 0.0001