簡約 (14.4)*(85)^{-0.718}

解

簡約

(14.4) \cdot (85)^{- 0.718}

\frac{72}{5 \cdot 8 5 ^{0.718}}

十進法表記

0.59297 \dots

解答ステップ

(14.4) \cdot 8 5^{- 0.718}

規則を適用する:

(a) = a

(14.4) = 14.4

= 14.4 \cdot 8 5^{- 0.718}

指数の規則を適用する:

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

8 5^{- 0.718} = \frac{1}{8 5 ^{0.718}}

= 14.4 \cdot \frac{1}{8 5 ^{0.718}}

14.4 \cdot \frac{1}{8 5 ^{0.718}} = \frac{14.4}{8 5 ^{0.718}}

= \frac{14.4}{8 5 ^{0.718}}

\frac{14.4}{8 5 ^{0.718}} = \frac{144}{10 \cdot 8 5 ^{0.718}}

= \frac{144}{10 \cdot 8 5 ^{0.718}}

数を因数に分解する:

144 = 2 \cdot 72

= \frac{2 \cdot 72}{10 \cdot 8 5 ^{0.718}}

数を因数に分解する:

10 = 2 \cdot 5

= \frac{2 \cdot 72}{2 \cdot 5 \cdot 8 5 ^{0.718}}

共通因数を約分する:

2

= \frac{72}{5 \cdot 8 5 ^{0.718}}