簡約 (2^20.3)^4*(2.3)^{-2}

解

簡約

(2^{2} 0.3)^{4} \cdot (2.3)^{- 2}

0.39198 \dots

解答ステップ

(2^{2} \cdot 0.3)^{4} (2.3)^{- 2}

指数の規則を適用する:

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

= \frac{1}{2. 3 ^{2}} (2^{2} \cdot 0.3)^{4}

(2^{2} \cdot 0.3)^{4} = 2^{8} \cdot 0. 3^{4}

= 2^{8} \cdot 0. 3^{4} \cdot \frac{1}{2. 3 ^{2}}

分数を乗じる:

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

= \frac{1 \cdot 2 ^{8} \cdot 0. 3 ^{4}}{2. 3 ^{2}}

乗算:

1 \cdot 2^{8} = 2^{8}

= \frac{2 ^{8} \cdot 0. 3 ^{4}}{2. 3 ^{2}}

2^{8} \cdot 0. 3^{4} = 2.0736

= \frac{2.0736}{2. 3 ^{2}}

2. 3^{2} = 5.29

= \frac{2.0736}{5.29}

数を割る:

\frac{2.0736}{5.29} = 0.39198 \dots

= 0.39198 \dots