What is simplify-(1.6*10^{-19})(-584.05) ?

The solution to simplify-(1.6*10^{-19})(-584.05) is (11681)/(5^{19)*6553600}

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simplify-(1.6*10^{-19})(-584.05)

simplify

- (1.6 \cdot 1 0^{- 19}) (- 584.05)

\frac{11681}{5 ^{19} \cdot 6553600}

Solution steps

- (1.6 \cdot 1 0^{- 19}) (- 584.05)

Apply rule:

- a (- b) = ab

- (1.6 \cdot 1 0^{- 19}) (- 584.05) = 1.6 \cdot 1 0^{- 19} \cdot 584.05

= 1.6 \cdot 1 0^{- 19} \cdot 584.05

Multiply the numbers:

1.6 \cdot 584.05 = 934.48

= 934.48 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 934.48

Apply exponent rule:

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

1 0^{- 19} = \frac{1}{1 0 ^{19}}

= \frac{1}{1 0 ^{19}} \cdot 934.48

\frac{1}{1 0 ^{19}} \cdot 934.48 = \frac{934.48}{1 0 ^{19}}

= \frac{934.48}{1 0 ^{19}}

\frac{934.48}{1 0 ^{19}} = \frac{93448}{100 \cdot 1 0 ^{19}}

= \frac{93448}{100 \cdot 1 0 ^{19}}

Factor the number:

93448 = 4 \cdot 23362

= \frac{4 \cdot 23362}{100 \cdot 1 0 ^{19}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 23362}{4 \cdot 25 \cdot 1 0 ^{19}}

Cancel the common factor:

4

= \frac{23362}{25 \cdot 1 0 ^{19}}

Factor the number:

23362 = 2 \cdot 11681

= \frac{2 \cdot 11681}{25 \cdot 1 0 ^{19}}

Factor

1 0^{19} : 2^{19} \cdot 5^{19}

= \frac{2 \cdot 11681}{25 \cdot 2 ^{19} \cdot 5 ^{19}}

\frac{2}{2 ^{19}} = \frac{1}{2 ^{18}}

= \frac{11681}{25 \cdot 2 ^{18} \cdot 5 ^{19}}

25 \cdot 2^{18} \cdot 5^{19} = 5^{19} \cdot 6553600

= \frac{11681}{5 ^{19} \cdot 6553600}

2.75 \cdot 1 0^{- 6}

(4 w^{3}) (5 w^{2})

2.75 \cdot 1 0^{- 4}

- 1 \cdot e^{- x}

What is simplify-(1.6*10^{-19})(-584.05) ?
The solution to simplify-(1.6*10^{-19})(-584.05) is (11681)/(5^{19)*6553600}