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Math Tutor's Solution: 76 to the Power of 94 is equal to 625860689720153894675329779023119791218668885268715162182982152269031697289005722783299512029943273307646917630098521886631180215670000397341006070978669962917342878463139250176
Methods
Step-by-step from math tutor: finding 76 to the power of 94
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:
76 x 76 x 76 x 76 x ... (for a total of 94 times) = 625860689720153894675329779023119791218668885268715162182982152269031697289005722783299512029943273307646917630098521886631180215670000397341006070978669962917342878463139250176
Therefore, 76 to the power of 94 is 625860689720153894675329779023119791218668885268715162182982152269031697289005722783299512029943273307646917630098521886631180215670000397341006070978669962917342878463139250176.
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