What is 1.6*10^{-19}*16 ?

The solution to 1.6*10^{-19}*16 is 1/(5^{20)*4096}

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simplify 1.610^{-19}16

simplify

1.6 \cdot 1 0^{- 19} \cdot 16

\frac{1}{5 ^{20} \cdot 4096}

Decimal Notation

2.56 E - 18

Solution steps

1.6 \cdot 1 0^{- 19} \cdot 16

Multiply the numbers:

1.6 \cdot 16 = 25.6

= 25.6 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 25.6

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 25.6

\frac{1}{1 0 ^{19}} \cdot 25.6 = \frac{25.6}{1 0 ^{19}}

= \frac{25.6}{1 0 ^{19}}

\frac{25.6}{1 0 ^{19}} = \frac{256}{10 \cdot 1 0 ^{19}}

= \frac{256}{10 \cdot 1 0 ^{19}}

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

= \frac{256}{1 0 ^{20}}

Factor the number:

256 = 2^{8}

= \frac{2 ^{8}}{1 0 ^{20}}

Factor

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

= \frac{2 ^{8}}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{8}}{2 ^{20}} = \frac{1}{2 ^{12}}

= \frac{1}{2 ^{12} \cdot 5 ^{20}}

2^{12} = 4096

= \frac{1}{5 ^{20} \cdot 4096}

12000 \cdot 4 π \cdot 1 0^{- 7}

e^{- 2. 1^{3}}

e^{- 0.47}

\frac{e ^{3 t}}{e ^{- 3 t}}