What is 0.38*(102400)*(1.33*10^{(-12)}) ?

The solution to 0.38*(102400)*(1.33*10^{(-12)}) is 2527/48828125000

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simplify 0.38(102400)(1.33*10^{(-12)})

simplify

0.38 \cdot (102400) \cdot (1.33 \cdot 1 0^{(- 12)})

\frac{2527}{48828125000}

Decimal Notation

5.1753 E - 8

Solution steps

0.38 (102400) (1.33 \cdot 1 0^{- 12})

Apply rule:

(a) = a

(102400) = 102400

= 0.38 \cdot 102400 \cdot 1.33 \cdot 1 0^{- 12}

Multiply the numbers:

0.38 \cdot 102400 \cdot 1.33 = 51752.96

= 51752.96 \cdot 1 0^{- 12}

= 1 0^{- 12} \cdot 51752.96

Apply exponent rule:

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

1 0^{- 12} = \frac{1}{1 0 ^{12}}

= \frac{1}{1 0 ^{12}} \cdot 51752.96

\frac{1}{1 0 ^{12}} \cdot 51752.96 = \frac{51752.96}{1 0 ^{12}}

= \frac{51752.96}{1 0 ^{12}}

\frac{51752.96}{1 0 ^{12}} = \frac{5175296}{100 \cdot 1 0 ^{12}}

= \frac{5175296}{100 \cdot 1 0 ^{12}}

Factor the number:

5175296 = 4 \cdot 1293824

= \frac{4 \cdot 1293824}{100 \cdot 1 0 ^{12}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 1293824}{4 \cdot 25 \cdot 1 0 ^{12}}

Cancel the common factor:

4

= \frac{1293824}{25 \cdot 1 0 ^{12}}

Factor

1293824 : 2^{9} \cdot 2527

= \frac{2 ^{9} \cdot 2527}{25 \cdot 1 0 ^{12}}

Factor

1 0^{12} : 2^{12} \cdot 5^{12}

= \frac{2 ^{9} \cdot 2527}{25 \cdot 2 ^{12} \cdot 5 ^{12}}

\frac{2 ^{9}}{2 ^{12}} = \frac{1}{2 ^{3}}

= \frac{2527}{25 \cdot 2 ^{3} \cdot 5 ^{12}}

25 \cdot 2^{3} \cdot 5^{12} = 48828125000

= \frac{2527}{48828125000}

e^{- 3 l n (x - 1)}

4.17 \cdot 1 0^{- 5}

(1.08 \cdot 1 0^{- 9}) (0.7)

e^{- (\frac{1.5 π}{1 - 1. 5 ^{2}})}

What is 0.38*(102400)*(1.33*10^{(-12)}) ?
The solution to 0.38*(102400)*(1.33*10^{(-12)}) is 2527/48828125000