Question

Find the value of questions​

Answer 1

The simplified expression is:

`(3^9y)/(2* \:81)=(243y)/(2)`

Explanation:

Given the expression

`(3^9* \:y)/(2* 81)`

solving the expression

`(3^9* \:y)/(2* 81)=(3^9y)/(162)`

`=(3^9y)/(3^4* \:2)` ∵
`162=3^4* \:2`

`=(3^5y)/(2)` ∵
`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)`

`=(243y)/(2)` ∵
`3^5=243`

Therefore, the simplified expression is:

`(3^9y)/(2* \:81)=(243y)/(2)`