What is factor (9x^3y^3)/(36x^5y^6) ?

The solution to factor (9x^3y^3)/(36x^5y^6) is 1/(4x^2y^3)

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factor (9x^3y^3)/(36x^5y^6)

factor

\frac{9 x ^{3} y ^{3}}{36 x ^{5} y ^{6}}

\frac{1}{4 x ^{2} y ^{3}}

Solution steps

\frac{9 x ^{3} y ^{3}}{36 x ^{5} y ^{6}}

Cancel the common factor:

9

= \frac{x ^{3} y ^{3}}{4 x ^{5} y ^{6}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{x ^{3}}{x ^{5}} = \frac{1}{x ^{5 - 3}}

= \frac{y ^{3}}{4 y ^{6} x ^{5 - 3}}

Subtract the numbers:

5 - 3 = 2

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{y ^{3}}{y ^{6}} = \frac{1}{y ^{6 - 3}}

= \frac{1}{4 x ^{2} y ^{6 - 3}}

Subtract the numbers:

6 - 3 = 3

= \frac{1}{4 x ^{2} y ^{3}}

\frac{7 π}{6} + 4 π

\frac{1}{2} \cdot \frac{4}{3}

2 y^{3} - 16 y^{2} + 32 y

2 x^{2} - 9 x + 2 = 0

4 r^{2} + 19 r - 5 = 0

What is factor (9x^3y^3)/(36x^5y^6) ?
The solution to factor (9x^3y^3)/(36x^5y^6) is 1/(4x^2y^3)