What is 150e^{-0.08059(15)} ?

The solution to 150e^{-0.08059(15)} is 44.78106…

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simplify 150e^{-0.08059(15)}

simplify

150 e^{- 0.08059 (15)}

44.78106 \dots

Solution steps

150 e^{- 0.08059 (15)}

Apply exponent rule:

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

= 150 \cdot \frac{1}{e ^{15 \cdot 0.08059}}

Multiply the numbers:

0.08059 \cdot 15 = 1.20885

= 150 \cdot \frac{1}{e ^{1.20885}}

Multiply fractions:

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

= \frac{1 \cdot 150}{e ^{1.20885}}

Multiply the numbers:

1 \cdot 150 = 150

= \frac{150}{e ^{1.20885}}

e^{1.20885} = 3.34963 \dots

= \frac{150}{3.34963 \dots}

Divide the numbers:

\frac{150}{3.34963 \dots} = 44.78106 \dots

= 44.78106 \dots

0.8 \pm 1.96 \frac{0.8 ( 1 - 0.8 )}{50}

\frac{x ^{2}}{a ^{2}}

(2 x)^{3}

(20)^{2}