Question

Simplify the expression$({243}^{0.12}\times {243}^{0.08}{)}^2$

Answer 1

Let, x = $({243}^{0.12}\times {243}^{0.08}{)}^2\Rightarrow x={\left\{\right(243{)}^{0.12+0.08}\}}^2={\left\{\right(243{)}^{0.2}\}}^2=(243{)}^{0.4}={\left\{\right(3{)}^5\}}^{0.4}=3^2\Rightarrow x=9$