Answer
$\dfrac{9x^{6}}{225}$
Work Step by Step
(i) $(ab)^m=a^mb^m$
(ii) $\left(\dfrac{a}{b}\right)^m=\dfrac{a^m}{b^m}, b\ne0$
(iii) $(a^m)^n=a^{mn}$
Use the rules above to obtain:
$=\dfrac{(3x^3)^2}{15^2}
\\=\dfrac{3^2(x^3)^2}{225}
\\=\dfrac{9x^{3\cdot2}}{225}
\\=\dfrac{9x^{6}}{225}$