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:
67 x 67 x 67 x 67 x ... (for a total of 99 times) = 6045127530961181628652411227196693490382260383969108811846856679868932815922570165203117478978324258618429876174558448218719550835202670830699753771294118292547613370699765040813403
Therefore, 67 to the power of 99 is 6045127530961181628652411227196693490382260383969108811846856679868932815922570165203117478978324258618429876174558448218719550835202670830699753771294118292547613370699765040813403.