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

解

簡約

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

0.12583 \dots

解答ステップ

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

指数の規則を適用する:

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

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

数を乗じる:

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}

数を割る:

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

= 0.12583 \dots