What is (18w^{1/3}v^{5/4})/(27w^{4/3)v^{1/2}} ?

The solution to (18w^{1/3}v^{5/4})/(27w^{4/3)v^{1/2}} is (2v^{3/4})/(3w)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (18w^{1/3}v^{5/4})/(27w^{4/3)v^{1/2}}

simplify

\frac{18 w ^{\frac{1}{3}} v ^{\frac{5}{4}}}{27 w ^{\frac{4}{3}} v ^{\frac{1}{2}}}

\frac{2 v ^{\frac{3}{4}}}{3 w}

Solution steps

\frac{18 w ^{\frac{1}{3}} v ^{\frac{5}{4}}}{27 w ^{\frac{4}{3}} v ^{\frac{1}{2}}}

Factor the number:

18 = 9 \cdot 2

= \frac{9 \cdot 2 w ^{\frac{1}{3}} v ^{\frac{5}{4}}}{27 w ^{\frac{4}{3}} v ^{\frac{1}{2}}}

Factor the number:

27 = 9 \cdot 3

= \frac{9 \cdot 2 w ^{\frac{1}{3}} v ^{\frac{5}{4}}}{9 \cdot 3 w ^{\frac{4}{3}} v ^{\frac{1}{2}}}

Cancel the common factor:

9

= \frac{2 w ^{\frac{1}{3}} v ^{\frac{5}{4}}}{3 w ^{\frac{4}{3}} v ^{\frac{1}{2}}}

Simplify

\frac{w ^{\frac{1}{3}}}{w ^{\frac{4}{3}}} : \frac{1}{w}

= \frac{2 v ^{\frac{5}{4}}}{3 w v ^{\frac{1}{2}}}

Simplify

\frac{v ^{\frac{5}{4}}}{v ^{\frac{1}{2}}} : v^{\frac{3}{4}}

= \frac{2 v ^{\frac{3}{4}}}{3 w}

\frac{9 x ^{2}}{3 x + 1} - \frac{1}{3 x + 1}

5 x^{3} - 9 x^{2} + 28 x + 6

(x - 1) (2 x - 1)

\frac{4 x ^{2} - 1}{4 x ^{2} + 4 x + 1}

x (x + 1)^{3}

What is (18w^{1/3}v^{5/4})/(27w^{4/3)v^{1/2}} ?
The solution to (18w^{1/3}v^{5/4})/(27w^{4/3)v^{1/2}} is (2v^{3/4})/(3w)