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Math Tutor's Solution: 62 to the Power of 97 is equal to 727769551096317880042339371183044461637142737811482671254561149534720765603396577431368714431990295757561321007990247895490239889475212229684700580179225664429861118769364992
Methods
Step-by-step from math tutor: finding 62 to the power of 97
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:
62 x 62 x 62 x 62 x ... (for a total of 97 times) = 727769551096317880042339371183044461637142737811482671254561149534720765603396577431368714431990295757561321007990247895490239889475212229684700580179225664429861118769364992
Therefore, 62 to the power of 97 is 727769551096317880042339371183044461637142737811482671254561149534720765603396577431368714431990295757561321007990247895490239889475212229684700580179225664429861118769364992.
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