簡約 ((sqrt(2))/2)^2+((sqrt(2))/2)^2

解

簡約

(\frac{2}{2})^{2} + (\frac{2}{2})^{2}

1

解答ステップ

(\frac{2}{2})^{2} + (\frac{2}{2})^{2}

類似した元を足す:

(\frac{2}{2})^{2} + (\frac{2}{2})^{2} = 2 (\frac{2}{2})^{2}

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

指数の規則を適用する:

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

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

= 2 \cdot \frac{( 2 ) ^{2}}{2 ^{2}}

2^{2} = 4

= 2 \cdot \frac{( 2 ) ^{2}}{4}

\frac{( 2 ) ^{2}}{4} = \frac{1}{2}

= 2 \cdot \frac{1}{2}

元を分数に変換する:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{1}{2}

共通因数をクロス約分する:

2

= 1