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受欢迎的代数 >

化简 (36x)^{1/2}(49x)^{1/2}

解答

化简

(36 x)^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

解答

42 x

求解步骤

(36 x)^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

化简

(36 x)^{\frac{1}{2}} : 6 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}} (49 x)^{\frac{1}{2}}

化简

(49 x)^{\frac{1}{2}} : 7 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}} \cdot 7 x^{\frac{1}{2}}

数字相乘:

6 \cdot 7 = 42

= 42 x^{\frac{1}{2}} x^{\frac{1}{2}}

使用指数法则:

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

x^{\frac{1}{2}} x^{\frac{1}{2}} = x^{\frac{1}{2} + \frac{1}{2}}

= 42 x^{\frac{1}{2} + \frac{1}{2}}

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

= 42 x^{1}

使用指数法则:

a^{1} = a

x^{1} = x

= 42 x

流行的例子

3 x + 7 < 13

因式分解 5x^3-44x^2+61x+14

f a c t or 5 x^{3} - 44 x^{2} + 61 x + 14

\frac{1}{4} - \frac{1}{3} + 2 + 4

12 = ∣ x + 4 ∣

t^{2} - 27 t = 0