What is 101.3e^{(-0.00015*4302)} ?

The solution to 101.3e^{(-0.00015*4302)} is 53.13237…

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simplify 101.3e^{(-0.00015*4302)}

simplify

101.3 e^{(- 0.00015 \cdot 4302)}

53.13237 \dots

Solution steps

101.3 e^{(- 0.00015 \cdot 4302)}

Apply exponent rule:

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

= 101.3 \cdot \frac{1}{e ^{4302 \cdot 0.00015}}

Multiply the numbers:

0.00015 \cdot 4302 = 0.6453

= 101.3 \cdot \frac{1}{e ^{0.6453}}

Multiply fractions:

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

= \frac{1 \cdot 101.3}{e ^{0.6453}}

Multiply the numbers:

1 \cdot 101.3 = 101.3

= \frac{101.3}{e ^{0.6453}}

e^{0.6453} = 1.90655 \dots

= \frac{101.3}{1.90655 \dots}

Divide the numbers:

\frac{101.3}{1.90655 \dots} = 53.13237 \dots

= 53.13237 \dots

25 e^{- 1}

0.5 (\frac{5}{2 ^{16}}) \cdot (1 0^{- 6})

e^{- \frac{π ^{0.33}}{1 - 0.3 3 ^{2}}}

105 \cdot 10

340 e^{- 0.035 (40)}

What is 101.3e^{(-0.00015*4302)} ?
The solution to 101.3e^{(-0.00015*4302)} is 53.13237…