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 97 times) = 3982729777831130692572200994419279513977761387981546965184714633465407253782645402357724686800456714852458617315278388559818267822265625
Therefore, 25 to the power of 97 is 3982729777831130692572200994419279513977761387981546965184714633465407253782645402357724686800456714852458617315278388559818267822265625.