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 66 times) = 77221898471091752129979545398007617659169439873636441311556914225729733650571393909844116377167780657007132423107249
Therefore, 57 to the power of 66 is 77221898471091752129979545398007617659169439873636441311556914225729733650571393909844116377167780657007132423107249.