Question

Simplify $3^2\times 3^{-5}\times 3^6$.

Answer 1

Given that:

$3^2\times 3^{-5}\times 3^6$

By law of exponents, we know that:

$a^m\times a^n=a^{m+n}$

Hence, $3^2\times 3^{-5}\times 3^6=3^{2-5+6}$

$=3^3=3\times 3\times 3$

$=27$

Hence, $3^2\times 3^{-5}\times 3^6=27$.