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:
99 x 99 x 99 x 99 x ... (for a total of 75 times) = 470586641585650216107359547719492610233960363652195577441978816198452166919408345014404142118544717662284554886544575913352564724419547922422497257499
Therefore, 99 to the power of 75 is 470586641585650216107359547719492610233960363652195577441978816198452166919408345014404142118544717662284554886544575913352564724419547922422497257499.