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:
46 x 46 x 46 x 46 x ... (for a total of 80 times) = 10486402772512364907998156817736586796712764971290418299240796024846375635111359258623483473539668410183321076902922189961688803966976
Therefore, 46 to the power of 80 is 10486402772512364907998156817736586796712764971290418299240796024846375635111359258623483473539668410183321076902922189961688803966976.