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:
62 x 62 x 62 x 62 x ... (for a total of 64 times) = 5164973859965249179065154939717494269947658426266553960878244596268481614842987330263563657801857314603738370932736
Therefore, 62 to the power of 64 is 5164973859965249179065154939717494269947658426266553960878244596268481614842987330263563657801857314603738370932736.