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:
45 x 45 x 45 x 45 x ... (for a total of 78 times) = 892433931724899592133340503925107044376202040970794580884598711678709679913526717581436810411421589606106863357126712799072265625
Therefore, 45 to the power of 78 is 892433931724899592133340503925107044376202040970794580884598711678709679913526717581436810411421589606106863357126712799072265625.