exam Maths Puzzle Numerical Ability

The point (5, 4) lies on a circle. What is the length of the radius of this circle if the center is located at (3, 2)?

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exam Other Question

"If 5 to the 21st power * 4 to the 11th power = 2 * 10 to the nth power, what is the value of n?"

With a calculator, the answer is 21. However, I would appreciate knowing how to solve this problem without a calculator. Thank you.
Factor the expression completely.

9a^4 + 11a^3b + 2a^2b^2