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Math Tutor's Solution: 52 to the Power of 78 is equal to 70511637994977603686756417008385990806240875636583778966852108695983927759598269700773743536985638001702883340288645702263906022457344
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Step-by-step from math tutor: finding 52 to the power of 78
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:
52 x 52 x 52 x 52 x ... (for a total of 78 times) = 70511637994977603686756417008385990806240875636583778966852108695983927759598269700773743536985638001702883340288645702263906022457344
Therefore, 52 to the power of 78 is 70511637994977603686756417008385990806240875636583778966852108695983927759598269700773743536985638001702883340288645702263906022457344.
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