For this case we must find the quotient of the following expression:
[tex]\frac {(- 8x ^ 2 * y) (- 7x ^ 5 * y ^ 3)} {- 2x ^ 2 * y ^ 3}[/tex]
We can rewrite the expression as:
(We take into account that[tex]- * - = +[/tex])
[tex]\frac {56x ^ 2 * y * x ^ 5 * y ^ 3} {- 2x ^ 2 * y ^ 3} =[/tex]
By definition of multiplication of powers of the same base, we place the same base and add the exponents:
[tex]\frac {56x ^ {2 + 5} * y ^ {1 + 3}} {- 2x ^ 2 * y ^ 3} =\\\frac {56x ^ {7} * y ^ {4}} {- 2x ^ 2 * y ^ 3} =[/tex]
By definition of division of powers of the same base, we place the same base and subtract the exponents:
[tex]-28x^{ 7-2} * y^{ 4-3} =\\-28x ^ 5 * y[/tex]
Answer:
[tex]-28x ^ 5 * y[/tex]
