簡約 ((9.88)^2)/((18)^2)

解

簡約

\frac{( 9.88 ) ^{2}}{( 18 ) ^{2}}

0.30127 \dots

解答ステップ

\frac{( 9.88 ) ^{2}}{( 18 ) ^{2}}

指数の規則を適用する:

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

\frac{9.8 8 ^{2}}{1 8 ^{2}} = (\frac{9.88}{18})^{2}

= (\frac{9.88}{18})^{2}

指数の規則を適用する:

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

= \frac{9.8 8 ^{2}}{1 8 ^{2}}

9.8 8^{2} = 97.6144

= \frac{97.6144}{1 8 ^{2}}

1 8^{2} = 324

= \frac{97.6144}{324}

数を割る:

\frac{97.6144}{324} = 0.30127 \dots

= 0.30127 \dots