化简 (4)^{3/2}

解答

化简

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

8

求解步骤

4^{\frac{3}{2}}

因式分解数字:

4 = 2^{2}

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

使用指数法则:

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

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

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

= 2^{3}

2^{3} = 8

= 8

s im pl i f y - 5 + 2

s im pl i f y 3^{\frac{1}{3}} \cdot 3^{\frac{5}{3}}

3 (5 x - 7) - 7 x = 11

x^{2} + (x + 4)^{2} = (x + 8)^{2}

f a c t or 12 x^{2} y - 10 x y - 12 y