化简 (1/2)^3*(2/3)^2

解答

化简

(\frac{1}{2})^{3} \cdot (\frac{2}{3})^{2}

\frac{1}{18}

十进制

0.05555 \dots

求解步骤

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

(\frac{1}{2})^{3} = \frac{1}{8}

= \frac{1}{8} (\frac{2}{3})^{2}

使用指数法则:

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

(\frac{2}{3})^{2} = \frac{2 ^{2}}{3 ^{2}}

= \frac{1}{8} \cdot \frac{2 ^{2}}{3 ^{2}}

2^{2} = 4

= \frac{1}{8} \cdot \frac{4}{3 ^{2}}

3^{2} = 9

= \frac{1}{8} \cdot \frac{4}{9}

\frac{1}{8} \cdot \frac{4}{9} = \frac{1}{18}

= \frac{1}{18}

x ∣ x - 3 ∣ = 2 x ∣ x - 3 ∣

s im pl i f y \frac{1}{12} - \frac{1}{2}

11 - 4 x = (3 x - 2)^{2} + 1

x (1 - x) = \frac{1}{6}

7 n^{2} - 7 = 0