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受欢迎的代数 >

化简 (8*320)^{1/3}

解答

化简

(8 \cdot 320)^{\frac{1}{3}}

解答

8 \cdot 5^{\frac{1}{3}}

+1

十进制

13.67980 \dots

求解步骤

(8 \cdot 320)^{\frac{1}{3}}

使用指数法则:

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

(8 \cdot 320)^{\frac{1}{3}} = 8^{\frac{1}{3}} \cdot 32 0^{\frac{1}{3}}

= 8^{\frac{1}{3}} \cdot 32 0^{\frac{1}{3}}

8^{\frac{1}{3}} = 2

= 2 \cdot 32 0^{\frac{1}{3}}

320

质因数分解:

2^{6} \cdot 5

= 2 (2^{6} \cdot 5)^{\frac{1}{3}}

使用指数法则:

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

(2^{6} \cdot 5)^{\frac{1}{3}} = (2^{6})^{\frac{1}{3}} \cdot 5^{\frac{1}{3}}

= 2 (2^{6})^{\frac{1}{3}} \cdot 5^{\frac{1}{3}}

(2^{6})^{\frac{1}{3}} = 4

= 2 \cdot 4 \cdot 5^{\frac{1}{3}}

数字相乘:

2 \cdot 4 = 8

= 8 \cdot 5^{\frac{1}{3}}

流行的例子

化简 (-5)/(4^2)

因式分解 5x^2+46x-40

化简 2/3 4^{3/2}