簡約 8000(1+((0.48)/(12)))^{-2}

解

簡約

8000 (1 + (\frac{0.48}{12}))^{- 2}

\frac{1250000}{169}

十進法表記

7396.44970 \dots

解答ステップ

8000 (1 + (\frac{0.48}{12}))^{- 2}

規則を適用する:

(a) = a

(\frac{0.48}{12}) = \frac{0.48}{12}

= 8000 (1 + \frac{0.48}{12})^{- 2}

指数の規則を適用する:

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

(1 + \frac{0.48}{12})^{- 2} = \frac{1}{( 1 + \frac{0.48}{12} ) ^{2}}

= 8000 \cdot \frac{1}{( 1 + \frac{0.48}{12} ) ^{2}}

(1 + \frac{0.48}{12})^{2} = \frac{676}{625}

= 8000 \cdot \frac{1}{\frac{676}{625}}

分数の規則を適用する:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 8000 \cdot \frac{625}{676}

8000 \cdot \frac{625}{676} = \frac{1250000}{169}

= \frac{1250000}{169}