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 67 times) = 2539654993388754207460282409813170102224883470698844658865272310563851420263579760002412285077872978460636348416
Therefore, 46 to the power of 67 is 2539654993388754207460282409813170102224883470698844658865272310563851420263579760002412285077872978460636348416.