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Math Tutor's Solution: 54 to the Power of 100 is equal to 173530565594749650313970138801646228669666817493140734315611226326359917115402287845579726082605409496190657713239531694146682292420808181052268478998939835997192791970021376
Methods
Step-by-step from math tutor: finding 54 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:
54 x 54 x 54 x 54 x ... (for a total of 100 times) = 173530565594749650313970138801646228669666817493140734315611226326359917115402287845579726082605409496190657713239531694146682292420808181052268478998939835997192791970021376
Therefore, 54 to the power of 100 is 173530565594749650313970138801646228669666817493140734315611226326359917115402287845579726082605409496190657713239531694146682292420808181052268478998939835997192791970021376.
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