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:
83 x 83 x 83 x 83 x ... (for a total of 47 times) = 1572788560383389822539534516007905438294181071504796401220666185274924923154505919961792027
Therefore, 83 to the power of 47 is 1572788560383389822539534516007905438294181071504796401220666185274924923154505919961792027.