What is (1.6*10^{-19})(-0.822) ?

The solution to (1.6*10^{-19})(-0.822) is -(411)/(5^{19)*163840000}

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simplify (1.6*10^{-19})(-0.822)

simplify

(1.6 \cdot 1 0^{- 19}) (- 0.822)

- \frac{411}{5 ^{19} \cdot 163840000}

Decimal Notation

0

Solution steps

(1.6 \cdot 1 0^{- 19}) (- 0.822)

Apply rule:

a (- b) = - ab

(1.6 \cdot 1 0^{- 19}) (- 0.822) = - 1.6 \cdot 1 0^{- 19} \cdot 0.822

= - 1.6 \cdot 1 0^{- 19} \cdot 0.822

Multiply the numbers:

- 1.6 \cdot 0.822 = - 1.3152

= - 1.3152 \cdot 1 0^{- 19}

= - 1 0^{- 19} \cdot 1.3152

Apply exponent rule:

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

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

= - \frac{1}{1 0 ^{19}} \cdot 1.3152

- \frac{1}{1 0 ^{19}} \cdot 1.3152 = - \frac{1.3152}{1 0 ^{19}}

= - \frac{1.3152}{1 0 ^{19}}

\frac{1.3152}{1 0 ^{19}} = \frac{13152}{10000 \cdot 1 0 ^{19}}

= - \frac{13152}{10000 \cdot 1 0 ^{19}}

Factor the number:

13152 = 16 \cdot 822

= - \frac{16 \cdot 822}{10000 \cdot 1 0 ^{19}}

Factor the number:

10000 = 16 \cdot 625

= - \frac{16 \cdot 822}{16 \cdot 625 \cdot 1 0 ^{19}}

Cancel the common factor:

16

= - \frac{822}{625 \cdot 1 0 ^{19}}

Factor the number:

822 = 2 \cdot 411

= - \frac{2 \cdot 411}{625 \cdot 1 0 ^{19}}

Factor

1 0^{19} : 2^{19} \cdot 5^{19}

= - \frac{2 \cdot 411}{625 \cdot 2 ^{19} \cdot 5 ^{19}}

\frac{2}{2 ^{19}} = \frac{1}{2 ^{18}}

= - \frac{411}{625 \cdot 2 ^{18} \cdot 5 ^{19}}

625 \cdot 2^{18} \cdot 5^{19} = 5^{19} \cdot 163840000

= - \frac{411}{5 ^{19} \cdot 163840000}

4 - x \cdot x^{2} + 9

t \cdot e^{a t} u (t)

2 x^{2} (2 x - 3 x^{2})^{2}

e^{- l n ∣ x^{2} - 1 ∣}

8000 (1 + 0.1)^{- 11}

What is (1.6*10^{-19})(-0.822) ?
The solution to (1.6*10^{-19})(-0.822) is -(411)/(5^{19)*163840000}