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受欢迎的代数 >

化简 (48)^{1/4}

解答

化简

(48)^{\frac{1}{4}}

解答

2 \cdot 3^{\frac{1}{4}}

+1

十进制

2.63214 \dots

求解步骤

4 8^{\frac{1}{4}}

48

质因数分解:

2^{4} \cdot 3

= (2^{4} \cdot 3)^{\frac{1}{4}}

使用指数法则:

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

(2^{4} \cdot 3)^{\frac{1}{4}} = (2^{4})^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}

= (2^{4})^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}

(2^{4})^{\frac{1}{4}} = 2

= 2 \cdot 3^{\frac{1}{4}}

流行的例子

∣ 7 w - 5 ∣ + 7 \leq 2

s im pl i f y \frac{9}{4} - \frac{9}{8}

|1.6x-5|=|x-0.2|

∣ 1.6 x - 5 ∣ = ∣ x - 0.2 ∣

s im pl i f y - 3 - 6

10 x^{2} - 17 x - 20 = 0