What is (1.6*10^{-19})(3) ?

The solution to (1.6*10^{-19})(3) is 3/(5^{20)*65536}

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simplify (1.6*10^{-19})(3)

simplify

(1.6 \cdot 1 0^{- 19}) (3)

\frac{3}{5 ^{20} \cdot 65536}

Decimal Notation

4.8 E - 19

Solution steps

(1.6 \cdot 1 0^{- 19}) (3)

Apply rule:

(a) = a

(3) = 3

= 1.6 \cdot 1 0^{- 19} \cdot 3

Multiply the numbers:

1.6 \cdot 3 = 4.8

= 4.8 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 4.8

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 4.8

\frac{1}{1 0 ^{19}} \cdot 4.8 = \frac{4.8}{1 0 ^{19}}

= \frac{4.8}{1 0 ^{19}}

\frac{4.8}{1 0 ^{19}} = \frac{48}{10 \cdot 1 0 ^{19}}

= \frac{48}{10 \cdot 1 0 ^{19}}

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

= \frac{48}{1 0 ^{20}}

Factor

48 : 2^{4} \cdot 3

= \frac{2 ^{4} \cdot 3}{1 0 ^{20}}

Factor

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

= \frac{2 ^{4} \cdot 3}{2 ^{20} \cdot 5 ^{20}}

\frac{2 ^{4}}{2 ^{20}} = \frac{1}{2 ^{16}}

= \frac{3}{2 ^{16} \cdot 5 ^{20}}

2^{16} = 65536

= \frac{3}{5 ^{20} \cdot 65536}

, 3 x^{2} \cdot (- 2) x^{2}

6.5 x 1 0^{- 6}

\frac{1}{4} e^{- \frac{x + y}{2}}

e^{- 0.00001}

What is (1.6*10^{-19})(3) ?
The solution to (1.6*10^{-19})(3) is 3/(5^{20)*65536}