What is expand (x^5y^6)/(xy^2) ?

The solution to expand (x^5y^6)/(xy^2) is x^4y^4

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expand (x^5y^6)/(xy^2)

expand

\frac{x ^{5} y ^{6}}{x y ^{2}}

x^{4} y^{4}

Solution steps

\frac{x ^{5} y ^{6}}{x y ^{2}}

Cancel the common factor:

x

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

Apply exponent rule:

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

\frac{y ^{6}}{y ^{2}} = y^{6 - 2}

= x^{4} y^{6 - 2}

Subtract the numbers:

6 - 2 = 4

= x^{4} y^{4}

\frac{3 ( 2 x - 1 ) ^{\frac{5}{2}} - 5 ( 2 x - 1 ) ^{\frac{3}{2}}}{15}

\frac{( - 1 ) ^{n} n !}{4 ^{n} ( n + 3 )}

y (6 - 3 y - 2 z)^{2}

(1 + (x + i y)^{3})^{2}

2 s^{2} e^{2 t} (1 - 3 s^{3} e^{- 3 t}) + 9 s^{3} e^{t}

What is expand (x^5y^6)/(xy^2) ?
The solution to expand (x^5y^6)/(xy^2) is x^4y^4