Question

Which expression is equivalent to...​

Answer 1

`(y^(12) )/(5)`

Explanation:

1) Cancel
`x^5`.

`(9y^(16) )/(45y^4)`

2) Take out the constants.

`(9)/(45) *(y^(16) )/(y^4)`

3) Simplify
`(9)/(45)` to
`(1)/(5)`.

`(1)/(5) *(y^(16) )/(y^4)`

4) Simplify.

`(y^(16) )/(5y^4)`

5) Use Quotient Rule: Use Quotient Rule:
`\frac{{x}^(a)}{{x}^(b)}={x}^(a-b)`.

`\frac{{y}^(16-4)}{5}`

6) Simplify
`16-4` to
`12`.

`(y^(12) )/(5)`