For this case we must find the quotient of the following expression:
[tex]\frac {18x ^ 6 * y ^ 2} {9xy}[/tex]
We can rewrite the expression as:
[tex]\frac {2x ^ 6 * y ^ 2} {x * y} =[/tex]
By definition of division of powers of the same base, we place the same base and subtract the exponents:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So:
[tex]2x^ {6-1} * y ^ {2-1}\\2 * x ^ 5 * y[/tex]
Answer:
[tex]2x ^ 5 * y[/tex]
