What is 3.5*0.02*1.3*2.9*e^{(-0.02*2.9*1.3*2.9)} ?

The solution to 3.5*0.02*1.3*2.9*e^{(-0.02*2.9*1.3*2.9)} is 0.21206…

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simplify 3.50.021.32.9e^{(-0.022.91.3*2.9)}

simplify

3.5 \cdot 0.02 \cdot 1.3 \cdot 2.9 \cdot e^{(- 0.02 \cdot 2.9 \cdot 1.3 \cdot 2.9)}

0.21206 \dots

Solution steps

3.5 \cdot 0.02 \cdot 1.3 \cdot 2.9 e^{(- 0.02 \cdot 2.9 \cdot 1.3 \cdot 2.9)}

Apply exponent rule:

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

= 0.02 \cdot 1.3 \cdot 2.9 \cdot 3.5 \cdot \frac{1}{e ^{0.02 \cdot 1.3 \cdot 2.9 \cdot 2.9}}

Multiply the numbers:

0.02 \cdot 2.9 \cdot 1.3 \cdot 2.9 = 0.21866

= 0.02 \cdot 1.3 \cdot 2.9 \cdot 3.5 \cdot \frac{1}{e ^{0.21866}}

Multiply the numbers:

3.5 \cdot 0.02 \cdot 1.3 \cdot 2.9 = 0.2639

= 0.2639 \cdot \frac{1}{e ^{0.21866}}

Multiply fractions:

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

= \frac{1 \cdot 0.2639}{e ^{0.21866}}

Multiply the numbers:

1 \cdot 0.2639 = 0.2639

= \frac{0.2639}{e ^{0.21866}}

e^{0.21866} = 1.24440 \dots

= \frac{0.2639}{1.24440 \dots}

Divide the numbers:

\frac{0.2639}{1.24440 \dots} = 0.21206 \dots

= 0.21206 \dots

- 9.7 \cdot 1 0^{- 2}

(18 a^{2}) (3 a)

6.8 x 1 0^{- 4}

e^{- [\frac{62.28 \cdot 1.6}{0.1768 \cdot 1909}]}

0.00000239 \cdot 1 0^{- 3}

What is 3.5*0.02*1.3*2.9*e^{(-0.02*2.9*1.3*2.9)} ?
The solution to 3.5*0.02*1.3*2.9*e^{(-0.02*2.9*1.3*2.9)} is 0.21206…