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

The solution to simplify-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 \frac{149}{5 ^{23} \cdot 4194304} (- 2.19 ln (10))

Apply rule

- (- a) = a

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

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

(0.5 \cdot 1 0^{- 6}) (- 4 e^{- (t - 1)})

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1.6 \cdot 1 0^{- 1}

(x - 1) (2 x + 1) (x - 7)

100 π \cdot 8.8635 \cdot 1 0^{- 5}

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