What is 200*1.6*10^{-19} ?

The solution to 200*1.6*10^{-19} is 1/(5^{18)*8192}

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simplify 2001.610^{-19}

simplify

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

\frac{1}{5 ^{18} \cdot 8192}

Decimal Notation

3.2 E - 17

Solution steps

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

Multiply the numbers:

200 \cdot 1.6 = 320

= 320 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 320

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 320

\frac{1}{1 0 ^{19}} \cdot 320 = \frac{1}{5 ^{18} \cdot 8192}

= \frac{1}{5 ^{18} \cdot 8192}

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