Question

Which expression is equivalent to 9x^5y^16/45x^5y^4

Answer 1

not sure i know what equivalent but i know the answer which is y^12/5.

Answer 2

An equivalent expression to the given expression
`(9x^5y^(16))/(45x^5y^4)` is
`(y^(12))/(5)`

Explanation:

Given : Expression
`(9x^5y^(16))/(45x^5y^4)`

We have to find an equivalent expression to the given expression
`(9x^5y^(16))/(45x^5y^4)`

Consider the given expression
`(9x^5y^(16))/(45x^5y^4)`

Cancel the common factor 9, we have,

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

Cancel the common factor
`x^5`, we have,

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

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)\:=\:x^(a-b)`

We have,
`(y^(16))/(y^4)=y^(16-4)=y^(12)`

Thus, we get,

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

Thus, An equivalent expression to the given expression
`(9x^5y^(16))/(45x^5y^4)` is
`(y^(12))/(5)`