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Math Tutor's Solution: 57 to the Power of 75 is equal to 490471950261669541628967382571424270629323465871389502061493233262713299200678556746331102981006591298231632084800843165233095729193
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Step-by-step from math tutor: finding 57 to the power of 75
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:
57 x 57 x 57 x 57 x ... (for a total of 75 times) = 490471950261669541628967382571424270629323465871389502061493233262713299200678556746331102981006591298231632084800843165233095729193
Therefore, 57 to the power of 75 is 490471950261669541628967382571424270629323465871389502061493233262713299200678556746331102981006591298231632084800843165233095729193.
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