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Math Tutor's Solution: 27 to the Power of 95 is equal to 9540202543551810321951771475143599158212099055721626495417399393442928940685104209944367620174062135063700980192985712626997494148209043
Methods
Step-by-step from math tutor: finding 27 to the power of 95
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:
27 x 27 x 27 x 27 x ... (for a total of 95 times) = 9540202543551810321951771475143599158212099055721626495417399393442928940685104209944367620174062135063700980192985712626997494148209043
Therefore, 27 to the power of 95 is 9540202543551810321951771475143599158212099055721626495417399393442928940685104209944367620174062135063700980192985712626997494148209043.
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