Question

Simplify $3^2\times 3^{-5}\times 3^6$
[2 marks]

Answer 1

$\mathrm{Using}{a}^m\times a^n=a^{m+n},\mathrm{we}\mathrm{have}\Rightarrow 3^2\times 3^{-5}\times 3^6={\left(3\right)}^{2+(-5)+6}\left[1\mathrm{mark}\right]\Rightarrow 3^2\times 3^{-5}\times 3^6={\left(3\right)}^{2-5+6}\Rightarrow 3^2\times 3^{-5}\times 3^6={\left(3\right)}^3\Rightarrow 3^2\times 3^{-5}\times 3^6=3\times 3\times 3\Rightarrow 3^2\times 3^{-5}\times 3^6=27\left[1\mathrm{mark}\right]$