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Popular >

simplify (2*10^{-3})(101.6)

Solution

simplify

(2 \cdot 1 0^{- 3}) (101.6)

Solution

0.2032

Solution steps

(2 \cdot 1 0^{- 3}) (101.6)

Apply rule:

(a) = a

(101.6) = 101.6

= 2 \cdot 1 0^{- 3} \cdot 101.6

Multiply the numbers:

2 \cdot 101.6 = 203.2

= 203.2 \cdot 1 0^{- 3}

= 1 0^{- 3} \cdot 203.2

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{3}} \cdot 203.2

1 0^{3} = 1000

= \frac{1}{1000} \cdot 203.2

\frac{1}{1000} \cdot 203.2 = \frac{203.2}{1000}

= \frac{203.2}{1000}

Divide the numbers:

\frac{203.2}{1000} = 0.2032

= 0.2032

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Frequently Asked Questions (FAQ)

What is (2*10^{-3})(101.6) ?
The solution to (2*10^{-3})(101.6) is 0.2032