簡約 ((1.3^2-1)^2)/(1.3^2)

解

簡約

\frac{( 1. 3 ^{2} - 1 ) ^{2}}{1. 3 ^{2}}

0.28171 \dots

解答ステップ

\frac{( 1. 3 ^{2} - 1 ) ^{2}}{1. 3 ^{2}}

指数の規則を適用する:

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

\frac{( 1. 3 ^{2} - 1 ) ^{2}}{1. 3 ^{2}} = (\frac{1. 3 ^{2} - 1}{1.3})^{2}

= (\frac{1. 3 ^{2} - 1}{1.3})^{2}

1. 3^{2} - 1 = 0.69

= (\frac{0.69}{1.3})^{2}

指数の規則を適用する:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{0.6 9 ^{2}}{1. 3 ^{2}}

0.6 9^{2} = 0.4761

= \frac{0.4761}{1. 3 ^{2}}

1. 3^{2} = 1.69

= \frac{0.4761}{1.69}

数を割る:

\frac{0.4761}{1.69} = 0.28171 \dots

= 0.28171 \dots