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:
11 x 11 x 11 x 11 x ... (for a total of 100 times) = 137806123398222701841183371720896367762643312000384664331464775521549852095523076769401159497458526446001
Therefore, 11 to the power of 100 is 137806123398222701841183371720896367762643312000384664331464775521549852095523076769401159497458526446001.