簡約 4.9(((1.5)^2)/(4.05^2))

解

簡約

4.9 (\frac{( 1.5 ) ^{2}}{4.0 5 ^{2}})

0.67215 \dots

解答ステップ

4.9 (\frac{( 1.5 ) ^{2}}{4.0 5 ^{2}})

指数の規則を適用する:

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

\frac{1. 5 ^{2}}{4.0 5 ^{2}} = (\frac{1.5}{4.05})^{2}

= 4.9 (\frac{1.5}{4.05})^{2}

(\frac{1.5}{4.05})^{2} = \frac{1. 5 ^{2}}{4.0 5 ^{2}}

= 4.9 \cdot \frac{1. 5 ^{2}}{4.0 5 ^{2}}

分数を乗じる:

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

= \frac{1. 5 ^{2} \cdot 4.9}{4.0 5 ^{2}}

1. 5^{2} \cdot 4.9 = 11.025

= \frac{11.025}{4.0 5 ^{2}}

4.0 5^{2} = 16.4025

= \frac{11.025}{16.4025}

数を割る:

\frac{11.025}{16.4025} = 0.67215 \dots

= 0.67215 \dots