What is 1.6*10^{-19}*400 ?

The solution to 1.6*10^{-19}*400 is 1/(5^{18)*4096}

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simplify 1.610^{-19}400

simplify

1.6 \cdot 1 0^{- 19} \cdot 400

\frac{1}{5 ^{18} \cdot 4096}

Solution steps

1.6 \cdot 1 0^{- 19} \cdot 400

Multiply the numbers:

1.6 \cdot 400 = 640

= 640 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 640

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 640

\frac{1}{1 0 ^{19}} \cdot 640 = \frac{1}{5 ^{18} \cdot 4096}

= \frac{1}{5 ^{18} \cdot 4096}

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