zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

化简 24^{3/2}

解答

化简

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

解答

48 \cdot 6^{\frac{1}{2}}

+1

十进制

117.57550 \dots

求解步骤

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

24

质因数分解:

2^{3} \cdot 3

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

使用指数法则:

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

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

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

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(2^{2})^{\frac{3}{2}} = 8

= 8 (2 \cdot 3)^{\frac{3}{2}}

(2 \cdot 3)^{\frac{3}{2}} = 6 \cdot 6^{\frac{1}{2}}

= 8 \cdot 6 \cdot 6^{\frac{1}{2}}

数字相乘:

8 \cdot 6 = 48

= 48 \cdot 6^{\frac{1}{2}}

流行的例子

因式分解 12y^2-58y-70

f a c t or 12 y^{2} - 58 y - 70

w^{2} + 5 w - 86 = 0

∣ 2 x - 6 ∣ \leq 12

5 x^{2} + 57 x - 36 = 0

∣ 9 x + 2 ∣ + 4 < 6