Respuesta :
For this case we must simplify the following expression:
[tex]\frac {12y ^ 7} {18y ^ {- 3}}[/tex]
We have that by definition of properties of powers, it is fulfilled that:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
Then, we can rewrite the expression:
[tex]12y ^ 7 * 18y ^ 3[/tex]
By definition of multiplication properties of powers of the same base we have:
[tex]a ^ m * a ^ n = a ^ {m + n}[/tex]
So:
[tex]12y ^ 7 * 18y ^ 3 = (12 * 18) * y ^ {7 + 3} = 216y ^ {10}[/tex]
Answer:
[tex]216y ^ {10}[/tex]
When y = 0 the expression is 0