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 66 times) = 55209891160625091466527878474199350048367031971714014323158093707909813483990864347878527936475499531752964096
Therefore, 46 to the power of 66 is 55209891160625091466527878474199350048367031971714014323158093707909813483990864347878527936475499531752964096.