The first step is to understand what it means when a number has an exponent. The “power” of a number indicates how many times the base would be multiplied by itself to reach the correct value.
The second step is to write the number in the base-exponent form, and lastly calculate what the final result would be. Consider the example of 2 to the power of 4: in exponent form that would be
So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:
To simplify this, all that is needed is to multiply it out:
65 x 65 x 65 x 65 x ... (for a total of 45 times) = 3811544977260437410497448593732943628077956504628588163541280664503574371337890625
Therefore, 65 to the power of 45 is 3811544977260437410497448593732943628077956504628588163541280664503574371337890625.