The first step 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
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:
46 x 46 x 46 x 46 x ... (for a total of 100 times) = 18870489598153477283426046188322382033469174851035447782249728239920153088213994283999227140018653219815006601147268373491651660090456539220658092488587622620516581376
Therefore, 46 to the power of 100 is 18870489598153477283426046188322382033469174851035447782249728239920153088213994283999227140018653219815006601147268373491651660090456539220658092488587622620516581376.