Question

Simplify, giving solution with positive index

$3^y{.3}^2{.3}^{-4}$

Answer 1

Step: simplifying using laws of exponents

Given, $3^y{.3}^2{.3}^{-4}$
it can be written as :
$3^y{.3}^2{.3}^{-4}=3^{y+2-4}$
[$a^m\times a^n=a^{m+n}$]
On further calculation, we have
$=3^{y-2}$

Hence, $3^y{.3}^2{.3}^{-4}=3^{y-2}$