What is 3.2*10^{-19}*400 ?

The solution to 3.2*10^{-19}*400 is 1/(5^{18)*2048}

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simplify 3.210^{-19}400

simplify

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

\frac{1}{5 ^{18} \cdot 2048}

Decimal Notation

1.28 E - 16

Solution steps

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

Multiply the numbers:

3.2 \cdot 400 = 1280

= 1280 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 1280

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 1280

\frac{1}{1 0 ^{19}} \cdot 1280 = \frac{1}{5 ^{18} \cdot 2048}

= \frac{1}{5 ^{18} \cdot 2048}

5 x

(4.21 \cdot 1 0^{- 3}) (56200)

3.2 \times 1 0^{- 2}

3.2 \times 1 0^{- 5}