What is 150e^{-0.08(5/12)} ?

The solution to 150e^{-0.08(5/12)} is 145.08241…

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simplify 150e^{-0.08(5/12)}

simplify

150 e^{- 0.08 (\frac{5}{12})}

145.08241 \dots

Solution steps

150 e^{- 0.08 (\frac{5}{12})}

Apply exponent rule:

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

= 150 \cdot \frac{1}{e ^{0.08 \cdot \frac{5}{12}}}

\frac{1}{e ^{0.08 \cdot \frac{5}{12}}} = \frac{1}{e ^{0.03333 \dots}}

= 150 \cdot \frac{1}{e ^{0.03333 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 150}{e ^{0.03333 \dots}}

Multiply the numbers:

1 \cdot 150 = 150

= \frac{150}{e ^{0.03333 \dots}}

e^{0.03333 \dots} = 1.03389 \dots

= \frac{150}{1.03389 \dots}

Divide the numbers:

\frac{150}{1.03389 \dots} = 145.08241 \dots

= 145.08241 \dots

(2 π (\frac{m + p h C}{d C g}))^{- 1}

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1400 \cdot 4 π \cdot 1 0^{- 7} \cdot 15 \cdot 15

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