Question

Find the value of questions​

Answer 1

Answer:

The simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$

Step-by-step explanation:

Given the expression

$\frac{3^9\times \:y}{2\times 81}$

solving the expression

$\frac{3^9\times \:y}{2\times 81}=\frac{3^9y}{162}$

        $=\frac{3^9y}{3^4\times \:2}$                ∵    $162=3^4\times \:2$      

        $=\frac{3^5y}{2}$                   ∵   $\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

       $=\frac{243y}{2}$                  ∵    $3^5=243$

Therefore, the simplified expression is:

$\frac{3^9y}{2\times \:81}=\frac{243y}{2}$