簡約 (2.4627^2)/(2.2118^2)

解

簡約

\frac{2.462 7 ^{2}}{2.211 8 ^{2}}

1.23974 \dots

解答ステップ

\frac{2.462 7 ^{2}}{2.211 8 ^{2}}

指数の規則を適用する:

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

\frac{2.462 7 ^{2}}{2.211 8 ^{2}} = (\frac{2.4627}{2.2118})^{2}

= (\frac{2.4627}{2.2118})^{2}

指数の規則を適用する:

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

= \frac{2.462 7 ^{2}}{2.211 8 ^{2}}

2.462 7^{2} = 6.06489129

= \frac{6.06489129}{2.211 8 ^{2}}

2.211 8^{2} = 4.89205924

= \frac{6.06489129}{4.89205924}

数を割る:

\frac{6.06489129}{4.89205924} = 1.23974 \dots

= 1.23974 \dots