簡約 (3pi)/(37.5)2^{-38.98}

解

簡約

\frac{3 π}{37.5} 2^{- 38.98}

4.63544 E - 13

解答ステップ

\frac{3 π}{37.5} \cdot 2^{- 38.98}

指数の規則を適用する:

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

= \frac{3 π}{37.5} \cdot \frac{1}{2 ^{38.98}}

分数を乗じる:

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

= \frac{3 π 1}{37.5 \cdot 2 ^{38.98}}

数を乗じる:

3 \cdot 1 = 3

= \frac{3 π}{2 ^{38.98} \cdot 37.5}

2^{38.98} = 542187163141.70886

= \frac{3 π}{37.5 \cdot 542187163141.70886}

数を乗じる:

3 \cdot 3.14159 \dots = 9.42477 \dots

= \frac{9.42477 \dots}{37.5 \cdot 542187163141.70886}

数を乗じる:

37.5 \cdot 542187163141.70886 = 2.0332 E 13

= \frac{9.42477 \dots}{2.0332 E 13}

数を割る:

\frac{9.42477 \dots}{2.0332 E 13} = 4.63544 E - 13

= 4.63544 E - 13