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Math Tutor's Solution: 75 to the Power of 95 is equal to 13515123612471851463127298556055806534020944512309525867510790373733809202419660198409405721783375505150982729739757403587876628777415355213420422586523272912018001079559326171875
Methods
Step-by-step from math tutor: finding 75 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:
75 x 75 x 75 x 75 x ... (for a total of 95 times) = 13515123612471851463127298556055806534020944512309525867510790373733809202419660198409405721783375505150982729739757403587876628777415355213420422586523272912018001079559326171875
Therefore, 75 to the power of 95 is 13515123612471851463127298556055806534020944512309525867510790373733809202419660198409405721783375505150982729739757403587876628777415355213420422586523272912018001079559326171875.
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