What is 29870e^{(-0.21132*12)} ?

The solution to 29870e^{(-0.21132*12)} is 2365.55964…

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simplify 29870e^{(-0.21132*12)}

simplify

29870 e^{(- 0.21132 \cdot 12)}

2365.55964 \dots

Solution steps

29870 e^{(- 0.21132 \cdot 12)}

Apply exponent rule:

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

= 29870 \cdot \frac{1}{e ^{12 \cdot 0.21132}}

Multiply the numbers:

0.21132 \cdot 12 = 2.53584

= 29870 \cdot \frac{1}{e ^{2.53584}}

Multiply fractions:

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

= \frac{1 \cdot 29870}{e ^{2.53584}}

Multiply the numbers:

1 \cdot 29870 = 29870

= \frac{29870}{e ^{2.53584}}

e^{2.53584} = 12.62703 \dots

= \frac{29870}{12.62703 \dots}

Divide the numbers:

\frac{29870}{12.62703 \dots} = 2365.55964 \dots

= 2365.55964 \dots

s im pl i f y 24 e^{- 200}

s im pl i f y 99.9 \cdot 1 0^{- 16}

j o in 21 \cdot x^{2} - 4

e x p an d 3 \frac{3 ( 5 - 25 t )}{4 π}

s im pl i f y (3.85 \cdot 1 0^{- 10}) \cdot 144

What is 29870e^{(-0.21132*12)} ?
The solution to 29870e^{(-0.21132*12)} is 2365.55964…