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:
31 x 31 x 31 x 31 x ... (for a total of 93 times) = 4973218340417863610502515752819070669485225057777033726280956714389656102148587728554712300856649672814196601097470346496505637849085784991
Therefore, 31 to the power of 93 is 4973218340417863610502515752819070669485225057777033726280956714389656102148587728554712300856649672814196601097470346496505637849085784991.