化简 \sqrt[3]{\sqrt[3]{a}}

解答

化简

3 3 a

9 a

求解步骤

3 3 a

使用根式运算法则:

n a = a^{\frac{1}{n}}

= (a^{\frac{1}{3}})^{\frac{1}{3}}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

= a^{\frac{1}{3} \cdot \frac{1}{3}}

\frac{1}{3} \cdot \frac{1}{3} = \frac{1}{9}

= a^{\frac{1}{9}}

a^{\frac{1}{n}} = n a

= 9 a

x^{2} + 7 x + 12 > 0

- \frac{3}{4} x = - \frac{3}{4}

- 9 x = - 36

s im pl i f y \frac{- 7 - 7 i}{1 + 9 i}

c (2) = - \frac{9}{2} (- \frac{4}{3})^{2 - 1}