If ( 5 )^7 ÷ ( 5 )^5 = 5^ P , then the value of P is?

Answer: Option D

$$\begin{array}{rl}& {\left(\sqrt{5}\right)}^7÷{\left(\sqrt{5}\right)}^5\text{ = }{\text{5}}^{\text{P}}\\ & \Rightarrow \frac{{\left(\sqrt{5}\right)}^7}{{\left(\sqrt{5}\right)}^5}={\text{5}}^{\text{P}}\\ & \Rightarrow {\left(\sqrt{5}\right)}^2={\text{5}}^{\text{P}}\\ & \Rightarrow {\text{5}}^{\text{1}}={\text{5}}^{\text{P}}\\ & \Rightarrow \boxed{\text{P}=1}\end{array}$$