化简 9^{1/4}*9^{1/4}

解答

化简

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

3

求解步骤

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}}

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

9^{\frac{1}{4}} \cdot 9^{\frac{1}{4}} = 9^{\frac{1}{4} + \frac{1}{4}}

= 9^{\frac{1}{4} + \frac{1}{4}}

\frac{1}{4} + \frac{1}{4} = \frac{1}{2}

= 9^{\frac{1}{2}}

因式分解数字:

9 = 3^{2}

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

使用指数法则:

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

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

2 \cdot \frac{1}{2} = 1

= 3^{1}

使用指数法则:

a^{1} = a

= 3

4 - 5 y > 39

f a c t or x^{3} - 7 x^{2} + x - 7

8 x - 2 x + 3 < 3 (x + 6)

f a c t or j^{2} - 9 jk - 10 k^{2}

s im pl i f y 5 (\frac{5 ^{3}}{\frac{2}{5}})^{2}