What is 1.225e^{-((0.04)/(288.15))2000} ?

The solution to 1.225e^{-((0.04)/(288.15))2000} is 0.92802…

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simplify 1.225e^{-((0.04)/(288.15))2000}

simplify

1.225 e^{- (\frac{0.04}{288.15}) 2000}

0.92802 \dots

Solution steps

1.225 e^{- (\frac{0.04}{288.15}) \cdot 2000}

Apply exponent rule:

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

= 1.225 \cdot \frac{1}{e ^{2000 \cdot \frac{0.04}{288.15}}}

\frac{1}{e ^{\frac{0.04}{288.15} \cdot 2000}} = \frac{1}{e ^{0.27763 \dots}}

= 1.225 \cdot \frac{1}{e ^{0.27763 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 1.225}{e ^{0.27763 \dots}}

Multiply the numbers:

1 \cdot 1.225 = 1.225

= \frac{1.225}{e ^{0.27763 \dots}}

e^{0.27763 \dots} = 1.32000 \dots

= \frac{1.225}{1.32000 \dots}

Divide the numbers:

\frac{1.225}{1.32000 \dots} = 0.92802 \dots

= 0.92802 \dots

x^{2} (3 x y) (x y^{4})

(x^{2} - 4 x + 1) e^{- x}

2 n^{4} \cdot (2 n^{3})

100 e^{- 0.22 (30)}

1.004 \cdot 1 0^{- 8} \cdot (1.5 \cdot 100)^{2}

What is 1.225e^{-((0.04)/(288.15))2000} ?
The solution to 1.225e^{-((0.04)/(288.15))2000} is 0.92802…