Question

Simplify ${\left(3^3\right)}^2\times 5^2$

Answer 1

According to law of exponents ${\left(a^n\right)}^m=a^{nm}$

$$\begin{gathered} {\left(3^3\right)}^2\times 5^2=3^{3\times 2}\times 5^2 \\ =3^6\times 5^2 \\ =729\times 25 \\ =18225 \end{gathered}$$

Hence, the final answer is $18225$.