What is 0.8*1.6*10^{-19} ?

The solution to 0.8*1.6*10^{-19} is 1/(5^{19)*409600}

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simplify 0.81.610^{-19}

simplify

0.8 \cdot 1.6 \cdot 1 0^{- 19}

\frac{1}{5 ^{19} \cdot 409600}

Decimal Notation

1.28 E - 19

Solution steps

0.8 \cdot 1.6 \cdot 1 0^{- 19}

Multiply the numbers:

0.8 \cdot 1.6 = 1.28

= 1.28 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 1.28

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 1.28

\frac{1}{1 0 ^{19}} \cdot 1.28 = \frac{1.28}{1 0 ^{19}}

= \frac{1.28}{1 0 ^{19}}

\frac{1.28}{1 0 ^{19}} = \frac{128}{100 \cdot 1 0 ^{19}}

= \frac{128}{100 \cdot 1 0 ^{19}}

Factor the number:

128 = 4 \cdot 32

= \frac{4 \cdot 32}{100 \cdot 1 0 ^{19}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 32}{4 \cdot 25 \cdot 1 0 ^{19}}

Cancel the common factor:

4

= \frac{32}{25 \cdot 1 0 ^{19}}

Factor the number:

32 = 2^{5}

= \frac{2 ^{5}}{25 \cdot 1 0 ^{19}}

Factor

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

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

\frac{2 ^{5}}{2 ^{19}} = \frac{1}{2 ^{14}}

= \frac{1}{25 \cdot 2 ^{14} \cdot 5 ^{19}}

25 \cdot 2^{14} \cdot 5^{19} = 5^{19} \cdot 409600

= \frac{1}{5 ^{19} \cdot 409600}

(e^{4})^{4}

0.01905 \cdot 5 \cdot 1 0^{- 5}

(e^{4})^{5}

0.00015

e^{- (2 l n (x) + 2 x)}

What is 0.8*1.6*10^{-19} ?
The solution to 0.8*1.6*10^{-19} is 1/(5^{19)*409600}