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Math Tutor's Solution: 89 to the Power of 93 is equal to 19645840689426543941141203098367051485678672688701631023382829915996414158701107150888938119464796662800036748323613144811017986974181257659302659804845771612413607672948301354120569
Methods
Step-by-step from math tutor: finding 89 to the power of 93
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:
89 x 89 x 89 x 89 x ... (for a total of 93 times) = 19645840689426543941141203098367051485678672688701631023382829915996414158701107150888938119464796662800036748323613144811017986974181257659302659804845771612413607672948301354120569
Therefore, 89 to the power of 93 is 19645840689426543941141203098367051485678672688701631023382829915996414158701107150888938119464796662800036748323613144811017986974181257659302659804845771612413607672948301354120569.
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