What is (a^2)/(7b)*(21b^3)/(2a^4) ?

The solution to (a^2)/(7b)*(21b^3)/(2a^4) is (3b^2)/(2a^2)

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simplify (a^2)/(7b)*(21b^3)/(2a^4)

simplify

\frac{a ^{2}}{7 b} \cdot \frac{21 b ^{3}}{2 a ^{4}}

\frac{3 b ^{2}}{2 a ^{2}}

Solution steps

\frac{a ^{2}}{7 b} \cdot \frac{21 b ^{3}}{2 a ^{4}}

Apply the fraction rule:

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

= \frac{a ^{2} \cdot 21 b ^{3}}{7 b \cdot 2 a ^{4}}

Factor the number:

21 = 7 \cdot 3

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

Cancel the common factor:

7

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

Simplify

\frac{b ^{3}}{b} : b^{2}

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

Simplify

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

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

\frac{π}{3} \div 2

\frac{1}{5 x}

\frac{100}{150}

\frac{\frac{( 7 x - 21 )}{15}}{\frac{( x - 3 )}{35}}

\frac{- 12}{6}

What is (a^2)/(7b)*(21b^3)/(2a^4) ?
The solution to (a^2)/(7b)*(21b^3)/(2a^4) is (3b^2)/(2a^2)