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受欢迎的代数 >

化简 (\sqrt[3]{-40})^5

解答

化简

(3 - 40)^{5}

解答

- 160 3 5^{2}

+1

十进制

- 467.84283 \dots

求解步骤

(3 - 40)^{5}

使用指数法则:

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

(3 - 40)^{3 + 2} = (3 - 40)^{3} (3 - 40)^{2}

= (3 - 40)^{3} (3 - 40)^{2}

使用指数法则:

(n a)^{n} = a, n i s o dd or a \geq 0

(3 - 40)^{3} = - 40

= - 40 (3 - 40)^{2}

3 - 40 = - 235

= - 40 (- 235)^{2}

使用指数法则:

(- a)^{n} = a^{n},

若

n

是偶数

(- 235)^{2} = (235)^{2}

= - 40 (235)^{2}

使用指数法则:

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

(235)^{2} = 2^{2} (35)^{2}

= - 40 \cdot 2^{2} (35)^{2}

2^{2} = 4

= - 40 \cdot 4 (35)^{2}

(35)^{2} = 5^{\frac{2}{3}}

= - 40 \cdot 4 \cdot 5^{\frac{2}{3}}

数字相乘:

- 40 \cdot 4 = - 160

= - 160 \cdot 5^{\frac{2}{3}}

= - 5^{\frac{2}{3}} \cdot 160

5^{\frac{2}{3}} = 3 5^{2}

= - 3 5^{2} \cdot 160

= - 160 3 5^{2}

流行的例子

x^{2} + x - 2 \leq 0

s im pl i f y (8 x)^{2}

x=0.25*(10^4x+0.8)^2

x = 0.25 \cdot (1 0^{4} x + 0.8)^{2}

3 x^{2} + 13 x + 10 = 0

化简 (x^8y^4)^{1/10}+3(x^{1/5}y^{1/10})^4

s im pl i f y (x^{8} y^{4})^{\frac{1}{10}} + 3 (x^{\frac{1}{5}} y^{\frac{1}{10}})^{4}