簡約 ((-1)^10.5^{2+4})/(1!(2+4))

解

簡約

\frac{( - 1 ) ^{1} 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

- 0.00260 \dots

解答ステップ

\frac{( - 1 ) ^{1} \cdot 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

規則を適用

a^{1} = a

(- 1)^{1} = - 1

= \frac{- 1 \cdot 0. 5 ^{2 + 4}}{1 ! ( 2 + 4 )}

- 1 \cdot 0. 5^{2 + 4} = - 0. 5^{6}

= \frac{- 0. 5 ^{6}}{1 ! ( 2 + 4 )}

数を足す:

2 + 4 = 6

= \frac{- 0. 5 ^{6}}{6 \cdot 1 !}

分数の規則を適用する:

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

= - \frac{0. 5 ^{6}}{1 ! \cdot 6}

0. 5^{6} = 0.015625

= - \frac{0.015625}{6 \cdot 1 !}

1! \cdot 6 = 6

= - \frac{0.015625}{6}

数を割る:

\frac{0.015625}{6} = 0.00260 \dots

= - 0.00260 \dots