Step 1 :Multiply the numbers with the same base and add the exponents: \(5^{6} \cdot 5^{2} \cdot 5^{3} = 5^{6+2+3} = 5^{11}\)
Step 2 :Calculate the result: \(5^{11} = 48,828,125\)
Step 3 :Final Answer: \(\boxed{48,828,125}\)