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:
34 x 34 x 34 x 34 x ... (for a total of 97 times) = 35764730192811609290191968450072195069884562988087337846338980117096366401438468701286032277103659795991871782966954399498943036106311297289414508544
Therefore, 34 to the power of 97 is 35764730192811609290191968450072195069884562988087337846338980117096366401438468701286032277103659795991871782966954399498943036106311297289414508544.