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:
82 x 82 x 82 x 82 x ... (for a total of 45 times) = 132319349531850621316117498142462203312939815069522994287414758519765374671037432594432
Therefore, 82 to the power of 45 is 132319349531850621316117498142462203312939815069522994287414758519765374671037432594432.