What is (63x^2y^2)/(42x^6y^4) ?

The solution to (63x^2y^2)/(42x^6y^4) is 3/(2x^4y^2)

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simplify (63x^2y^2)/(42x^6y^4)

simplify

\frac{63 x ^{2} y ^{2}}{42 x ^{6} y ^{4}}

\frac{3}{2 x ^{4} y ^{2}}

Solution steps

\frac{63 x ^{2} y ^{2}}{42 x ^{6} y ^{4}}

Factor the number:

63 = 21 \cdot 3

= \frac{21 \cdot 3 x ^{2} y ^{2}}{42 x ^{6} y ^{4}}

Factor the number:

42 = 21 \cdot 2

= \frac{21 \cdot 3 x ^{2} y ^{2}}{21 \cdot 2 x ^{6} y ^{4}}

Cancel the common factor:

21

= \frac{3 x ^{2} y ^{2}}{2 x ^{6} y ^{4}}

Simplify

\frac{x ^{2}}{x ^{6}} : \frac{1}{x ^{4}}

= \frac{3 y ^{2}}{2 x ^{4} y ^{4}}

Simplify

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

= \frac{3}{2 x ^{4} y ^{2}}

5 x + 14 - 7 x = - 20

- 3 x^{2} + 14 x - 8

24 x^{3} + 30 x^{2} - 126 x

(- 2 y^{4}) \cdot (x y^{3})^{2} - 13 x^{2} y^{10}

\frac{2 x - 7}{5} = 7

What is (63x^2y^2)/(42x^6y^4) ?
The solution to (63x^2y^2)/(42x^6y^4) is 3/(2x^4y^2)