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:
25 x 25 x 25 x 25 x ... (for a total of 83 times) = 106910588403687825845621458686059275152607875204201947918477499686415945639485214346819930142373777925968170166015625
Therefore, 25 to the power of 83 is 106910588403687825845621458686059275152607875204201947918477499686415945639485214346819930142373777925968170166015625.