Question

Simplify $\frac{3^3\times 3^2\times 2^5}{3^4\times 2^3}$.

Answer 1

According to law of exponents $a^n\times a^m=a^{n+m}$ and $a^n÷a^m=a^{n-m}$

$$\begin{gathered} \frac{3^3\times 3^2\times 2^5}{3^4\times 2^3}=\frac{3^{3+2}\times 2^5}{3^4\times 2^3} \\ =\frac{3^5\times 2^5}{3^4\times 2^3} \\ =3^{5-4}\times 2^{5-3} \\ =3^1\times 2^2 \\ =3\times 4 \\ =12 \end{gathered}$$

Hence, the final answer is $12$.