zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的代数 >

化简 (\sqrt[3]{5^2*7})^8

解答

化简

(3 5^{2} \cdot 7)^{8}

解答

3 7^{2} \cdot 15312535

+1

十进制

958152.85168 \dots

求解步骤

(3 5^{2} \cdot 7)^{8}

使用指数法则:

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

(3 5^{2} \cdot 7)^{6 + 2} = (3 5^{2} \cdot 7)^{6} (3 5^{2} \cdot 7)^{2}

= (3 5^{2} \cdot 7)^{6} (3 5^{2} \cdot 7)^{2}

(3 5^{2} \cdot 7)^{6} = ((3 5^{2} \cdot 7)^{3})^{2}

= ((3 5^{2} \cdot 7)^{3})^{2} (3 5^{2} \cdot 7)^{2}

使用指数法则:

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

(3 5^{2} \cdot 7)^{3} = 5^{2} \cdot 7

= (5^{2} \cdot 7)^{2} (3 5^{2} \cdot 7)^{2}

(3 5^{2} \cdot 7)^{2} = (5^{2} \cdot 7)^{\frac{2}{3}}

= (5^{2} \cdot 7)^{2} (5^{2} \cdot 7)^{\frac{2}{3}}

使用指数法则:

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

(5^{2} \cdot 7)^{2} (5^{2} \cdot 7)^{\frac{2}{3}} = (5^{2} \cdot 7)^{2 + \frac{2}{3}}

= (5^{2} \cdot 7)^{2 + \frac{2}{3}}

2 + \frac{2}{3} = \frac{8}{3}

= (5^{2} \cdot 7)^{\frac{8}{3}}

使用指数法则:

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

(5^{2} \cdot 7)^{\frac{8}{3}} = (5^{2})^{\frac{8}{3}} \cdot 7^{\frac{8}{3}}

= (5^{2})^{\frac{8}{3}} \cdot 7^{\frac{8}{3}}

(5^{2})^{\frac{8}{3}} = 312535

= 312535 \cdot 7^{\frac{8}{3}}

= 7^{\frac{8}{3}} \cdot 312535

7^{\frac{8}{3}} = 7^{2} \cdot 7^{\frac{2}{3}}

= 7^{2} \cdot 3125 \cdot 7^{\frac{2}{3}} 35

7^{2} = 49

= 49 \cdot 3125 \cdot 7^{\frac{2}{3}} 35

数字相乘:

49 \cdot 3125 = 153125

= 153125 \cdot 7^{\frac{2}{3}} 35

= 7^{\frac{2}{3}} \cdot 15312535

7^{\frac{2}{3}} = 3 7^{2}

= 3 7^{2} \cdot 15312535

流行的例子

化简 (2.8× 10^{-4})(16)^{1.08}

s im pl i f y (2.8 \times 1 0^{- 4}) (16)^{1.08}

化简 e^{-0.02*0.02617}

s im pl i f y e^{- 0.02 \cdot 0.02617}

化简-2e^{-1/2}

s im pl i f y - 2 e^{- \frac{1}{2}}

化简 t^3(3t^2)

s im pl i f y t^{3} (3 t^{2})

化简 \sqrt[5]{\sqrt[3]{7}}

s im pl i f y 537