Question

Simplify 12y^7/18y^-3. Assume y=0

Answer 1

its the third one i got that

Answer 2

For this case we must simplify the following expression:

`\frac {12y ^ 7} {18y ^ {- 3}}`

We have that by definition of properties of powers, it is fulfilled that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Then, we can rewrite the expression:

`12y ^ 7 * 18y ^ 3`

By definition of multiplication properties of powers of the same base we have:

`a ^ m * a ^ n = a ^ {m + n}`

So:

`12y ^ 7 * 18y ^ 3 = (12 * 18) * y ^ {7 + 3} = 216y ^ {10}`

Answer:

`216y ^ {10}`

When y = 0 the expression is 0