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受欢迎的代数 >

化简 (3x^2)^3

解答

化简

(3 x^{2})^{3}

解答

27 x^{6}

求解步骤

(3 x^{2})^{3}

使用指数法则:

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

(3 x^{2})^{3} = 3^{3} (x^{2})^{3}

= 3^{3} (x^{2})^{3}

3^{3} = 27

= 27 (x^{2})^{3}

使用指数法则:

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

假定

a \geq 0

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

= 27 x^{2 \cdot 3}

数字相乘:

2 \cdot 3 = 6

= 27 x^{6}

流行的例子

(x^2}{12}-\frac{4x)/3+5=0

\frac{x ^{2}}{12} - \frac{4 x}{3} + 5 = 0

7x+0=2x+18+2x+18

7 x + 0 = 2 x + 18 + 2 x + 18

6x-4+2x=4(5+2x)

6 x - 4 + 2 x = 4 (5 + 2 x)

化简 (5r^3)^{1/4}

s im pl i f y (5 r^{3})^{\frac{1}{4}}

∣ x + 4 ∣ = 0