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Math Tutor's Solution: 45 to the Power of 98 is equal to 1034728354093759656450988422630450052576382054610149677174690974574967031974377014209561652111382356311323678579479402894238104781976517188013531267642974853515625
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Step-by-step from math tutor: finding 45 to the power of 98
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:
45 x 45 x 45 x 45 x ... (for a total of 98 times) = 1034728354093759656450988422630450052576382054610149677174690974574967031974377014209561652111382356311323678579479402894238104781976517188013531267642974853515625
Therefore, 45 to the power of 98 is 1034728354093759656450988422630450052576382054610149677174690974574967031974377014209561652111382356311323678579479402894238104781976517188013531267642974853515625.
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