化简 27^{5/3}

解答

化简

2 7^{\frac{5}{3}}

243

求解步骤

2 7^{\frac{5}{3}}

因式分解数字:

27 = 3^{3}

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

使用指数法则:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{3 \cdot \frac{5}{3}}

3 \cdot \frac{5}{3} = 5

= 3^{5}

3^{5} = 243

= 243

s im pl i f y 780

s im pl i f y \frac{3}{4} + 4

\frac{2}{7} - \frac{1}{2} \cdot \frac{4}{14} - (\frac{1}{2} - \frac{3}{4})

3 x (x + 1) - \frac{( x - 2 ) ^{2}}{2} = (x + 1) (x - 1) + 15

s im pl i f y 2 x \cdot 2 x