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 ((p^2r^3)/(pr^4))^2

解答

化简

(\frac{p ^{2} r ^{3}}{p r ^{4}})^{2}

解答

\frac{p ^{2}}{r ^{2}}

求解步骤

(\frac{p ^{2} r ^{3}}{p r ^{4}})^{2}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( p ^{2} r ^{3} ) ^{2}}{( p r ^{4} ) ^{2}}

化简

(p^{2} r^{3})^{2} : p^{4} r^{6}

= \frac{p ^{4} r ^{6}}{( p r ^{4} ) ^{2}}

化简

(p r^{4})^{2} : p^{2} r^{8}

= \frac{p ^{4} r ^{6}}{p ^{2} r ^{8}}

使用指数法则:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{p ^{4}}{p ^{2}} = p^{4 - 2}

= \frac{p ^{4 - 2} r ^{6}}{r ^{8}}

数字相减:

4 - 2 = 2

= \frac{p ^{2} r ^{6}}{r ^{8}}

使用指数法则:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{r ^{6}}{r ^{8}} = \frac{1}{r ^{8 - 6}}

= \frac{p ^{2}}{r ^{8 - 6}}

数字相减:

8 - 6 = 2

= \frac{p ^{2}}{r ^{2}}

流行的例子

5(3d-7)+7d=10d-(14-3d)

5 (3 d - 7) + 7 d = 10 d - (14 - 3 d)

2 x + 1 \leq 7

- 3 \geq 2 x + 3 > 7

化简 (2+i)-(4-6i)(-3+3i)

s im pl i f y (2 + i) - (4 - 6 i) (- 3 + 3 i)

因式分解 5x^2-5x-30

f a c t or 5 x^{2} - 5 x - 30