Find the value of questions

Question

asked Dec 8, 2021 8.6k views

1 Answer

DrowZ · Answer 1 · 2021-12-14T15:42:41+0000

Answer:

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:

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