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:
52 x 52 x 52 x 52 x ... (for a total of 98 times) = 1473423784866237624670098483797258933673033687275246807716133162119807965143050991653453567510224775014037060129581571439829382568929663552438113089945991643900772614144
Therefore, 52 to the power of 98 is 1473423784866237624670098483797258933673033687275246807716133162119807965143050991653453567510224775014037060129581571439829382568929663552438113089945991643900772614144.