What is (7.12*10^{-4})(77.6) ?

The solution to (7.12*10^{-4})(77.6) is 0.0552512

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simplify (7.12*10^{-4})(77.6)

simplify

(7.12 \cdot 1 0^{- 4}) (77.6)

0.0552512

Solution steps

(7.12 \cdot 1 0^{- 4}) (77.6)

Apply rule:

(a) = a

(77.6) = 77.6

= 7.12 \cdot 1 0^{- 4} \cdot 77.6

Multiply the numbers:

7.12 \cdot 77.6 = 552.512

= 552.512 \cdot 1 0^{- 4}

= 1 0^{- 4} \cdot 552.512

Apply exponent rule:

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

1 0^{- 4} = \frac{1}{1 0 ^{4}}

= \frac{1}{1 0 ^{4}} \cdot 552.512

1 0^{4} = 10000

= \frac{1}{10000} \cdot 552.512

\frac{1}{10000} \cdot 552.512 = \frac{552.512}{10000}

= \frac{552.512}{10000}

Divide the numbers:

\frac{552.512}{10000} = 0.0552512

= 0.0552512

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What is (7.12*10^{-4})(77.6) ?
The solution to (7.12*10^{-4})(77.6) is 0.0552512