What is simplify-(1.6*10^{-19})(-2006.18) ?

The solution to simplify-(1.6*10^{-19})(-2006.18) is (100309)/(5^{19)*16384000}

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simplify-(1.6*10^{-19})(-2006.18)

simplify

- (1.6 \cdot 1 0^{- 19}) (- 2006.18)

\frac{100309}{5 ^{19} \cdot 16384000}

Decimal Notation

3.20989 E - 16

Solution steps

- (1.6 \cdot 1 0^{- 19}) (- 2006.18)

Apply rule:

- a (- b) = ab

- (1.6 \cdot 1 0^{- 19}) (- 2006.18) = 1.6 \cdot 1 0^{- 19} \cdot 2006.18

= 1.6 \cdot 1 0^{- 19} \cdot 2006.18

Multiply the numbers:

1.6 \cdot 2006.18 = 3209.888

= 3209.888 \cdot 1 0^{- 19}

= 1 0^{- 19} \cdot 3209.888

Apply exponent rule:

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

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

= \frac{1}{1 0 ^{19}} \cdot 3209.888

\frac{1}{1 0 ^{19}} \cdot 3209.888 = \frac{3209.888}{1 0 ^{19}}

= \frac{3209.888}{1 0 ^{19}}

\frac{3209.888}{1 0 ^{19}} = \frac{3209888}{1000 \cdot 1 0 ^{19}}

= \frac{3209888}{1000 \cdot 1 0 ^{19}}

Factor the number:

3209888 = 8 \cdot 401236

= \frac{8 \cdot 401236}{1000 \cdot 1 0 ^{19}}

Factor the number:

1000 = 8 \cdot 125

= \frac{8 \cdot 401236}{8 \cdot 125 \cdot 1 0 ^{19}}

Cancel the common factor:

8

= \frac{401236}{125 \cdot 1 0 ^{19}}

Factor

401236 : 2^{2} \cdot 100309

= \frac{2 ^{2} \cdot 100309}{125 \cdot 1 0 ^{19}}

Factor

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

= \frac{2 ^{2} \cdot 100309}{125 \cdot 2 ^{19} \cdot 5 ^{19}}

\frac{2 ^{2}}{2 ^{19}} = \frac{1}{2 ^{17}}

= \frac{100309}{125 \cdot 2 ^{17} \cdot 5 ^{19}}

125 \cdot 2^{17} \cdot 5^{19} = 5^{19} \cdot 16384000

= \frac{100309}{5 ^{19} \cdot 16384000}

r a t i o ni l i ze \frac{7}{2}

(x^{3} y^{3}) (x^{4} y^{5})

(0.1 - 0.1)^{2}

7.85 \cdot 1 0^{- 3} \cdot 1.1498

2^{p}

What is simplify-(1.6*10^{-19})(-2006.18) ?
The solution to simplify-(1.6*10^{-19})(-2006.18) is (100309)/(5^{19)*16384000}