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:
89 x 89 x 89 x 89 x ... (for a total of 100 times) = 868961758838235800287756364471948378335796838288975942380290688618631629298190451688200804595799187620583691268029782284423459421328787441070241643294159775050113833420284747674478527063285036001
Therefore, 89 to the power of 100 is 868961758838235800287756364471948378335796838288975942380290688618631629298190451688200804595799187620583691268029782284423459421328787441070241643294159775050113833420284747674478527063285036001.