​$$\frac{(225^{0.2}×225^{0.3})}{(225^{0.6}×225^{0.4} )}$$​is equal to:

Correct option is C

Given:

​$$\frac{225^{0.2} \times 225^{0.3}}{225^{0.6} \times 225^{0.4}}$$  

Concept Used

​$$a^m \times a^n = a^{m+n} \\ \ \\ \frac{a^m}{a^n} = a^{m-n}$$​​

Solution:

​$$\frac{225^{0.2} \times 225^{0.3}}{225^{0.6} \times 225^{0.4}} \\ \ \\ = \frac{225^{0.5} }{225^{1.0}} \\ \ \\ = 225^{-0.5} \\ \ \\ =\frac{1}{\sqrt{225}}\\ \ \\= \frac{1}{15}$$