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:
47 x 47 x 47 x 47 x ... (for a total of 45 times) = 1755511210260049172778020908173078657717675374080672665297567056535308458607
Therefore, 47 to the power of 45 is 1755511210260049172778020908173078657717675374080672665297567056535308458607.