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 89 times) = 483002055622570383664267456364574754071181656407158782767949026586725305877021836781302416491
Therefore, 11 to the power of 89 is 483002055622570383664267456364574754071181656407158782767949026586725305877021836781302416491.