What is 101.325*e^{-(9.81)/((287)(276))*3624} ?

The solution to 101.325*e^{-(9.81)/((287)(276))*3624} is 64.68435…

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simplify 101.325e^{-(9.81)/((287)(276))3624}

simplify

101.325 \cdot e^{- \frac{9.81}{( 287 ) ( 276 )} \cdot 3624}

64.68435 \dots

Solution steps

101.325 e^{- \frac{9.81}{( 287 ) ( 276 )} \cdot 3624}

Apply exponent rule:

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

= 101.325 \cdot \frac{1}{e ^{3624 \cdot \frac{9.81}{287 \cdot 276}}}

\frac{1}{e ^{\frac{9.81}{287 \cdot 276} \cdot 3624}} = \frac{1}{e ^{0.44881 \dots}}

= 101.325 \cdot \frac{1}{e ^{0.44881 \dots}}

Multiply fractions:

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

= \frac{1 \cdot 101.325}{e ^{0.44881 \dots}}

Multiply the numbers:

1 \cdot 101.325 = 101.325

= \frac{101.325}{e ^{0.44881 \dots}}

e^{0.44881 \dots} = 1.56645 \dots

= \frac{101.325}{1.56645 \dots}

Divide the numbers:

\frac{101.325}{1.56645 \dots} = 64.68435 \dots

= 64.68435 \dots

((5^{6})^{- 2})^{3}

3 m^{3} n^{2} (8 m n^{3})

(1.25 \cdot 1 0^{5}) \cdot (5 \cdot 1 0^{5})

What is 101.325*e^{-(9.81)/((287)(276))*3624} ?
The solution to 101.325*e^{-(9.81)/((287)(276))*3624} is 64.68435…