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Math Tutor's Solution: 25 to the Power of 100 is equal to 62230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625
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Step-by-step from math tutor: finding 25 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:
25 x 25 x 25 x 25 x ... (for a total of 100 times) = 62230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625
Therefore, 25 to the power of 100 is 62230152778611417071440640537801242405902521687211671331011166147896988340353834411839448231257136169569665895551224821247160434722900390625.
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