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

The solution to 101.325^{-(9.81)/((287)(276))*3624} is 0.12583…

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

simplify

101.32 5^{- \frac{9.81}{( 287 ) ( 276 )} \cdot 3624}

0.12583 \dots

Solution steps

101.32 5^{- \frac{9.81}{( 287 ) ( 276 )} \cdot 3624}

Apply exponent rule:

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

= \frac{1}{101.32 5 ^{3624 \cdot \frac{9.81}{287 \cdot 276}}}

Multiply the numbers:

287 \cdot 276 = 79212

= \frac{1}{101.32 5 ^{3624 \cdot \frac{9.81}{79212}}}

101.32 5^{\frac{9.81}{79212} \cdot 3624} = 101.32 5^{0.44881 \dots}

= \frac{1}{101.32 5 ^{0.44881 \dots}}

101.32 5^{0.44881 \dots} = 7.94681 \dots

= \frac{1}{7.94681 \dots}

Divide the numbers:

\frac{1}{7.94681 \dots} = 0.12583 \dots

= 0.12583 \dots

4 \cdot π \cdot 69634000 0^{2} \cdot 5678 \cdot 1 0^{- 8}

\frac{2}{3} 2^{\frac{3}{2}}

3583 e^{(- e^{(- 0.02 (100 - 66))})}

3.64 \cdot 1 0^{- 6}

What is 101.325^{-(9.81)/((287)(276))*3624} ?
The solution to 101.325^{-(9.81)/((287)(276))*3624} is 0.12583…