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:
57 x 57 x 57 x 57 x ... (for a total of 45 times) = 10336380909072984040478934731183442668440297718142506219164825973278827978612057
Therefore, 57 to the power of 45 is 10336380909072984040478934731183442668440297718142506219164825973278827978612057.