What is (30*10^{-2})(162.86) ?

The solution to (30*10^{-2})(162.86) is 48.858

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simplify (30*10^{-2})(162.86)

simplify

(30 \cdot 1 0^{- 2}) (162.86)

48.858

Solution steps

(30 \cdot 1 0^{- 2}) (162.86)

Apply rule:

(a) = a

(162.86) = 162.86

= 30 \cdot 1 0^{- 2} \cdot 162.86

Multiply the numbers:

30 \cdot 162.86 = 4885.8

= 4885.8 \cdot 1 0^{- 2}

= 1 0^{- 2} \cdot 4885.8

Apply exponent rule:

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

1 0^{- 2} = \frac{1}{1 0 ^{2}}

= \frac{1}{1 0 ^{2}} \cdot 4885.8

1 0^{2} = 100

= \frac{1}{100} \cdot 4885.8

\frac{1}{100} \cdot 4885.8 = \frac{4885.8}{100}

= \frac{4885.8}{100}

Divide the numbers:

\frac{4885.8}{100} = 48.858

= 48.858

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