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Math Tutor's Solution: 89 to the Power of 100 is equal to 868961758838235800287756364471948378335796838288975942380290688618631629298190451688200804595799187620583691268029782284423459421328787441070241643294159775050113833420284747674478527063285036001
Methods
Step-by-step from math tutor: finding 89 to the power of 100
The first step a math tutor would suggest 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 . To solve this, we need to multiply the base, 2 by itself, 4 times - = 16. So .
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.
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