What is 74.75*(e^{(-75*0.7)}*e^{(-3*0.7)}) ?

The solution to 74.75*(e^{(-75*0.7)}*e^{(-3*0.7)}) is 1.44921E-22

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simplify 74.75(e^{(-750.7)}e^{(-30.7)})

simplify

74.75 \cdot (e^{(- 75 \cdot 0.7)} \cdot e^{(- 3 \cdot 0.7)})

1.44921 E - 22

Solution steps

74.75 (e^{(- 75 \cdot 0.7)} e^{(- 3 \cdot 0.7)})

Apply exponent rule:

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

= 74.75 e^{- 3 \cdot 0.7} \frac{1}{e ^{75 \cdot 0.7}}

Apply exponent rule:

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

= 74.75 \cdot \frac{1}{e ^{3 \cdot 0.7}} \cdot \frac{1}{e ^{75 \cdot 0.7}}

Multiply the numbers:

75 \cdot 0.7 = 52.5

= 74.75 \cdot \frac{1}{e ^{52.5}} \cdot \frac{1}{e ^{3 \cdot 0.7}}

Multiply the numbers:

3 \cdot 0.7 = 2.1

= 74.75 \cdot \frac{1}{e ^{2.1}} \cdot \frac{1}{e ^{52.5}}

Multiply fractions:

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

= 74.75 \cdot \frac{1 \cdot 1}{e ^{52.5} e ^{2.1}}

\frac{1 \cdot 1}{e ^{52.5} e ^{2.1}} = 1.93875 E - 24

= 1.93875 E - 24 \cdot 74.75

Multiply the numbers:

74.75 \cdot 1.93875 E - 24 = 1.44921 E - 22

= 1.44921 E - 22

3.8812 \cdot 1 0^{- 4}

1000 \cdot e^{- 0.045}

- 2^{2} \cdot e^{- 2}

6000 e^{- 1.45 \cdot 4}

1.013 e^{- (\frac{0.0342}{250}) 10000} \cdot 1000

What is 74.75*(e^{(-75*0.7)}*e^{(-3*0.7)}) ?
The solution to 74.75*(e^{(-75*0.7)}*e^{(-3*0.7)}) is 1.44921E-22