What is 159.39e^{(-0.244*5.3)} ?

The solution to 159.39e^{(-0.244*5.3)} is 43.73523…

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simplify 159.39e^{(-0.244*5.3)}

simplify

159.39 e^{(- 0.244 \cdot 5.3)}

43.73523 \dots

Solution steps

159.39 e^{(- 0.244 \cdot 5.3)}

Apply exponent rule:

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

= 159.39 \cdot \frac{1}{e ^{0.244 \cdot 5.3}}

Multiply the numbers:

0.244 \cdot 5.3 = 1.2932

= 159.39 \cdot \frac{1}{e ^{1.2932}}

Multiply fractions:

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

= \frac{1 \cdot 159.39}{e ^{1.2932}}

Multiply the numbers:

1 \cdot 159.39 = 159.39

= \frac{159.39}{e ^{1.2932}}

e^{1.2932} = 3.64443 \dots

= \frac{159.39}{3.64443 \dots}

Divide the numbers:

\frac{159.39}{3.64443 \dots} = 43.73523 \dots

= 43.73523 \dots

2.3 \cdot 1 0^{- 1}

\frac{1}{1000 π ( 0.01 \cdot 1 0 ^{- 6} )} \cdot 8.8635 \cdot 1 0^{- 5}

4 \cdot π \cdot (10 \cdot 3.09 \cdot 1 0^{22})^{2} \cdot 2.2 \cdot 1 0^{- 16}

x in t erce pt \frac{3 x ^{3} - 4 x ^{2} - 12 x + 16}{3 x ^{2} + 5 x - 2}

(\frac{8}{0.52})^{2} (11.8)

What is 159.39e^{(-0.244*5.3)} ?
The solution to 159.39e^{(-0.244*5.3)} is 43.73523…