What is (1.6*10^{-19})(574) ?

The solution to (1.6*10^{-19})(574) is (287)/(5^{20)*32768}

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simplify (1.6*10^{-19})(574)

simplify

(1.6 \cdot 1 0^{- 19}) (574)

\frac{287}{5 ^{20} \cdot 32768}

Decimal Notation

9.184 E - 17

Solution steps

(1.6 \cdot 1 0^{- 19}) (574)

Apply rule:

(a) = a

(574) = 574

= 1.6 \cdot 1 0^{- 19} \cdot 574

Multiply the numbers:

1.6 \cdot 574 = 918.4

= 918.4 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 918.4

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 918.4

\frac{1}{1 0 ^{19}} \cdot 918.4 = \frac{918.4}{1 0 ^{19}}

= \frac{918.4}{1 0 ^{19}}

\frac{918.4}{1 0 ^{19}} = \frac{9184}{10 \cdot 1 0 ^{19}}

= \frac{9184}{10 \cdot 1 0 ^{19}}

10 \cdot 1 0^{19} = 1 0^{20}

= \frac{9184}{1 0 ^{20}}

Factor

9184 : 2^{5} \cdot 287

= \frac{2 ^{5} \cdot 287}{1 0 ^{20}}

Factor

1 0^{20} : 2^{20} \cdot 5^{20}

= \frac{2 ^{5} \cdot 287}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{5}}{2 ^{20}} = \frac{1}{2 ^{15}}

= \frac{287}{2 ^{15} \cdot 5 ^{20}}

2^{15} = 32768

= \frac{287}{5 ^{20} \cdot 32768}

0.0316 \cdot (150 \cdot 1 0^{- 3})

e^{- 10 x} e^{- 7 x}

2 (4 a^{3}) (3 a)

\frac{2 + x}{1 - x}

144000 x (2.51 x 1 0^{- 6})

What is (1.6*10^{-19})(574) ?
The solution to (1.6*10^{-19})(574) is (287)/(5^{20)*32768}