What is (21mn^3x^6)/(28m^4n^2x^2) ?

The solution to (21mn^3x^6)/(28m^4n^2x^2) is (3x^4n)/(4m^3)

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simplify (21mn^3x^6)/(28m^4n^2x^2)

simplify

\frac{21 m n ^{3} x ^{6}}{28 m ^{4} n ^{2} x ^{2}}

\frac{3 x ^{4} n}{4 m ^{3}}

Solution steps

\frac{21 m n ^{3} x ^{6}}{28 m ^{4} n ^{2} x ^{2}}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 3 m n ^{3} x ^{6}}{28 m ^{4} n ^{2} x ^{2}}

Factor the number:

28 = 7 \cdot 4

= \frac{7 \cdot 3 m n ^{3} x ^{6}}{7 \cdot 4 m ^{4} n ^{2} x ^{2}}

Cancel the common factor:

7

= \frac{3 m n ^{3} x ^{6}}{4 m ^{4} n ^{2} x ^{2}}

Simplify

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

= \frac{3 mn x ^{6}}{4 m ^{4} x ^{2}}

Simplify

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

= \frac{3 mn x ^{4}}{4 m ^{4}}

Simplify

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

= \frac{3 n x ^{4}}{4 m ^{3}}

= \frac{3 x ^{4} n}{4 m ^{3}}

\frac{1 + \frac{1}{3}}{2}

(1 - 2 x + x^{2})^{2}

25 y^{4}

i \cdot i \cdot i

- 1 - \frac{3}{4}

What is (21mn^3x^6)/(28m^4n^2x^2) ?
The solution to (21mn^3x^6)/(28m^4n^2x^2) is (3x^4n)/(4m^3)