What is (2a^{3/2}b)/(8a^{7/2)b^{1/2}} ?

The solution to (2a^{3/2}b)/(8a^{7/2)b^{1/2}} is (b^{1/2})/(4a^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2a^{3/2}b)/(8a^{7/2)b^{1/2}}

simplify

\frac{2 a ^{\frac{3}{2}} b}{8 a ^{\frac{7}{2}} b ^{\frac{1}{2}}}

\frac{b ^{\frac{1}{2}}}{4 a ^{2}}

Solution steps

\frac{2 a ^{\frac{3}{2}} b}{8 a ^{\frac{7}{2}} b ^{\frac{1}{2}}}

Factor the number:

8 = 2 \cdot 4

= \frac{2 a ^{\frac{3}{2}} b}{2 \cdot 4 a ^{\frac{7}{2}} b ^{\frac{1}{2}}}

Cancel the common factor:

2

= \frac{a ^{\frac{3}{2}} b}{4 a ^{\frac{7}{2}} b ^{\frac{1}{2}}}

Simplify

\frac{a ^{\frac{3}{2}}}{a ^{\frac{7}{2}}} : \frac{1}{a ^{2}}

= \frac{b}{4 a ^{2} b ^{\frac{1}{2}}}

Simplify

\frac{b}{b ^{\frac{1}{2}}} : b^{\frac{1}{2}}

= \frac{b ^{\frac{1}{2}}}{4 a ^{2}}

4^{(- \frac{3}{8})} + 5 = 3^{\frac{3}{8}} + 4

1 \frac{2}{3} x + (2 x + 1) (13 x - 1) \geq 0

6^{2}

2 (x + 10) = x + 24

2 x > 14

What is (2a^{3/2}b)/(8a^{7/2)b^{1/2}} ?
The solution to (2a^{3/2}b)/(8a^{7/2)b^{1/2}} is (b^{1/2})/(4a^2)