What is ((4a^2b)/(a^3b^2))((5a^2b)/(2b^4)) ?

The solution to ((4a^2b)/(a^3b^2))((5a^2b)/(2b^4)) is (10a)/(b^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((4a^2b)/(a^3b^2))((5a^2b)/(2b^4))

simplify

(\frac{4 a ^{2} b}{a ^{3} b ^{2}}) (\frac{5 a ^{2} b}{2 b ^{4}})

\frac{10 a}{b ^{4}}

Solution steps

(\frac{4 a ^{2} b}{a ^{3} b ^{2}}) (\frac{5 a ^{2} b}{2 b ^{4}})

Simplify

(\frac{4 a ^{2} b}{a ^{3} b ^{2}}) (\frac{5 a ^{2} b}{2 b ^{4}}) : \frac{4 a ^{2} b}{a ^{3} b ^{2}} \cdot \frac{5 a ^{2} b}{2 b ^{4}}

= \frac{4 a ^{2} b}{a ^{3} b ^{2}} \cdot \frac{5 a ^{2} b}{2 b ^{4}}

Cancel

\frac{4 a ^{2} b}{a ^{3} b ^{2}} : \frac{4}{ab}

= \frac{4}{ab} \cdot \frac{5 a ^{2} b}{2 b ^{4}}

Cancel

\frac{5 a ^{2} b}{2 b ^{4}} : \frac{5 a ^{2}}{2 b ^{3}}

= \frac{4}{ab} \cdot \frac{5 a ^{2}}{2 b ^{3}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 5 a ^{2}}{ab \cdot 2 b ^{3}}

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 \cdot 5 a ^{2}}{ab \cdot 2 b ^{3}}

Cancel the common factor:

2

= \frac{2 \cdot 5 a ^{2}}{ab b ^{3}}

Simplify

\frac{a ^{2}}{a} : a

= \frac{2 \cdot 5 a}{b b ^{3}}

Multiply the numbers:

2 \cdot 5 = 10

= \frac{10 a}{b b ^{3}}

Simplify

b b^{3} : b^{4}

= \frac{10 a}{b ^{4}}

5 \cdot 7

- x^{2} - 2 x + 8 = 0

x^{2} + 20 x + 75 = 0

4 + 3 u = - 11

What is ((4a^2b)/(a^3b^2))((5a^2b)/(2b^4)) ?
The solution to ((4a^2b)/(a^3b^2))((5a^2b)/(2b^4)) is (10a)/(b^4)