化简 ((1.96)/(0.03))^20.50.5

解答

化简

(\frac{1.96}{0.03})^{2} \cdot 0.5 \cdot 0.5

\frac{9604}{9}

十进制

1067.11111 \dots

求解步骤

(\frac{1.96}{0.03})^{2} \cdot 0.5 \cdot 0.5

数字相乘:

0.5 \cdot 0.5 = 0.25

= (\frac{1.96}{0.03})^{2} \cdot 0.25

= 0.25 (\frac{1.96}{0.03})^{2}

使用指数法则:

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

(\frac{1.96}{0.03})^{2} = \frac{1.9 6 ^{2}}{0.0 3 ^{2}}

= 0.25 \cdot \frac{1.9 6 ^{2}}{0.0 3 ^{2}}

1.9 6^{2} = 3.8416

= 0.25 \cdot \frac{3.8416}{0.0 3 ^{2}}

0.0 3^{2} = 0.0009

= 0.25 \cdot \frac{3.8416}{0.0009}

\frac{3.8416}{0.0009} = \frac{38416}{9}

= 0.25 \cdot \frac{38416}{9}

0.25 = \frac{1}{4}

= \frac{1}{4} \cdot \frac{38416}{9}

\frac{1}{4} \cdot \frac{38416}{9} = \frac{9604}{9}

= \frac{9604}{9}

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