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Math Tutor's Solution: 62 to the Power of 73 is equal to 69918698151538501880202015143496112437212964056249745907147298097740647391975108557514445222909693316474951121435942431705920438272
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Step-by-step from math tutor: finding 62 to the power of 73
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 73 times) = 69918698151538501880202015143496112437212964056249745907147298097740647391975108557514445222909693316474951121435942431705920438272
Therefore, 62 to the power of 73 is 69918698151538501880202015143496112437212964056249745907147298097740647391975108557514445222909693316474951121435942431705920438272.
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