What is 1.225e^{-((0.04)/(288))2000} ?

The solution to 1.225e^{-((0.04)/(288))2000} is 0.92789…

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simplify 1.225e^{-((0.04)/(288))2000}

simplify

1.225 e^{- (\frac{0.04}{288}) 2000}

0.92789 \dots

Solution steps

1.225 e^{- (\frac{0.04}{288}) \cdot 2000}

Apply exponent rule:

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

= 1.225 \cdot \frac{1}{e ^{2000 \cdot \frac{0.04}{288}}}

\frac{1}{e ^{\frac{0.04}{288} \cdot 2000}} = \frac{1}{e ^{0.27777 \dots}}

= 1.225 \cdot \frac{1}{e ^{0.27777 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 1.225}{e ^{0.27777 \dots}}

Multiply the numbers:

1 \cdot 1.225 = 1.225

= \frac{1.225}{e ^{0.27777 \dots}}

e^{0.27777 \dots} = 1.32019 \dots

= \frac{1.225}{1.32019 \dots}

Divide the numbers:

\frac{1.225}{1.32019 \dots} = 0.92789 \dots

= 0.92789 \dots

a^{\frac{1}{2}} b^{\frac{1}{2}}

(((- 6)^{4})^{1})^{3}

(14 m^{5} n^{8}) (\frac{1}{7} m n^{3})

e^{- x} (ln (x))

What is 1.225e^{-((0.04)/(288))2000} ?
The solution to 1.225e^{-((0.04)/(288))2000} is 0.92789…