化简 4(1/6)(5/6)^3

解答

化简

4 (\frac{1}{6}) (\frac{5}{6})^{3}

\frac{125}{324}

十进制

0.38580 \dots

求解步骤

4 (\frac{1}{6}) (\frac{5}{6})^{3}

使用法则:

(a) = a

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

= 4 \cdot \frac{1}{6} (\frac{5}{6})^{3}

使用指数法则:

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

(\frac{5}{6})^{3} = \frac{5 ^{3}}{6 ^{3}}

= 4 \cdot \frac{1}{6} \cdot \frac{5 ^{3}}{6 ^{3}}

5^{3} = 125

= 4 \cdot \frac{1}{6} \cdot \frac{125}{6 ^{3}}

6^{3} = 216

= 4 \cdot \frac{1}{6} \cdot \frac{125}{216}

4 \cdot \frac{1}{6} \cdot \frac{125}{216} = \frac{125}{324}

= \frac{125}{324}

s im pl i f y \frac{11}{12} - \frac{3}{8}

s im pl i f y \frac{a ^{3} b ^{3} c ^{5}}{a b ^{6} c ^{2}}

x^{2} + 6 x + 9 = 25

3 x + 4 \leq 7 or \frac{5 x + 4}{2} > 7

f a c t or 2 x^{2} - 12 x - 80