What is 1.38*10^{-23}*298*ln(10^{2.19}) ?

The solution to 1.38*10^{-23}*298*ln(10^{2.19}) is 2.07374E-20

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simplify 1.3810^{-23}298*ln(10^{2.19})

simplify

1.38 \cdot 1 0^{- 23} \cdot 298 \cdot ln (1 0^{2.19})

2.07374 E - 20

Solution steps

1.38 \cdot 1 0^{- 23} \cdot 298 ln (1 0^{2.19})

Apply exponent rule:

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

= 298 \cdot 1.38 \cdot \frac{1}{1 0 ^{23}} ln (1 0^{2.19})

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 1.38 \cdot \frac{1 \cdot 298}{1 0 ^{23}} ln (1 0^{2.19})

\frac{1 \cdot 298}{1 0 ^{23}} = \frac{149}{5 ^{23} \cdot 4194304}

= 1.38 \cdot \frac{149}{5 ^{23} \cdot 4194304} ln (1 0^{2.19})

Simplify

ln (1 0^{2.19}) : 2.19 ln (10)

= 1.38 \cdot 2.19 \cdot \frac{149}{5 ^{23} \cdot 4194304} ln (10)

Multiply the numbers:

1.38 \cdot 2.19 = 3.0222

= 3.0222 \cdot \frac{149}{5 ^{23} \cdot 4194304} ln (10)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{149 \cdot 3.0222}{5 ^{23} \cdot 4194304} ln (10)

\frac{149 \cdot 3.0222}{5 ^{23} \cdot 4194304} = 9.00616 E - 21

= 9.00616 E - 21 ln (10)

Simplify

ln (10) : 2.30258 \dots

= 9.00616 E - 21 \cdot 2.30258 \dots

Multiply the numbers:

2.30258 \dots \cdot 9.00616 E - 21 = 2.07374 E - 20

= 2.07374 E - 20

- \frac{e ^{- x}}{e ^{- 2 x}}

3 + 2 \cdot 3 - 2

e^{(- 150 \cdot 720 \cdot 1 0^{- 6})}

5^{2} 0. 5^{- 6}

9.8 \cdot (60.11 \cdot 1 0^{- 3}) \cdot 0.085

What is 1.38*10^{-23}*298*ln(10^{2.19}) ?
The solution to 1.38*10^{-23}*298*ln(10^{2.19}) is 2.07374E-20