What is 1.38*10^{-23}*4 ?

The solution to 1.38*10^{-23}*4 is (69)/(5^{23)*104857600}

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simplify 1.3810^{-23}4

simplify

1.38 \cdot 1 0^{- 23} \cdot 4

\frac{69}{5 ^{23} \cdot 104857600}

Decimal Notation

5.52 E - 23

Solution steps

1.38 \cdot 1 0^{- 23} \cdot 4

Multiply the numbers:

1.38 \cdot 4 = 5.52

= 5.52 \cdot 1 0^{- 23}

= 1 0^{- 23} \cdot 5.52

Apply exponent rule:

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

1 0^{- 23} = \frac{1}{1 0 ^{23}}

= \frac{1}{1 0 ^{23}} \cdot 5.52

\frac{1}{1 0 ^{23}} \cdot 5.52 = \frac{5.52}{1 0 ^{23}}

= \frac{5.52}{1 0 ^{23}}

\frac{5.52}{1 0 ^{23}} = \frac{552}{100 \cdot 1 0 ^{23}}

= \frac{552}{100 \cdot 1 0 ^{23}}

Factor the number:

552 = 4 \cdot 138

= \frac{4 \cdot 138}{100 \cdot 1 0 ^{23}}

Factor the number:

100 = 4 \cdot 25

= \frac{4 \cdot 138}{4 \cdot 25 \cdot 1 0 ^{23}}

Cancel the common factor:

4

= \frac{138}{25 \cdot 1 0 ^{23}}

Factor the number:

138 = 2 \cdot 69

= \frac{2 \cdot 69}{25 \cdot 1 0 ^{23}}

Factor

1 0^{23} : 2^{23} \cdot 5^{23}

= \frac{2 \cdot 69}{25 \cdot 2 ^{23} \cdot 5 ^{23}}

\frac{2}{2 ^{23}} = \frac{1}{2 ^{22}}

= \frac{69}{25 \cdot 2 ^{22} \cdot 5 ^{23}}

25 \cdot 2^{22} \cdot 5^{23} = 5^{23} \cdot 104857600

= \frac{69}{5 ^{23} \cdot 104857600}

e (e^{- 2 x})

1600 e^{- 0.04 (100)}

8.8 e^{- 11}

3.1 \cdot (1 0^{- 6})

2 x^{4} (8 x)

What is 1.38*10^{-23}*4 ?
The solution to 1.38*10^{-23}*4 is (69)/(5^{23)*104857600}