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Math Tutor's Solution: 91 to the Power of 92 is equal to 1705328670231040726539215182174739373162233618062318911659865413825283079060757266179684923880168417049744052781764834002186231401667411566297325697065259819377298320145651434484881
Methods
Step-by-step from math tutor: finding 91 to the power of 92
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:
91 x 91 x 91 x 91 x ... (for a total of 92 times) = 1705328670231040726539215182174739373162233618062318911659865413825283079060757266179684923880168417049744052781764834002186231401667411566297325697065259819377298320145651434484881
Therefore, 91 to the power of 92 is 1705328670231040726539215182174739373162233618062318911659865413825283079060757266179684923880168417049744052781764834002186231401667411566297325697065259819377298320145651434484881.
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