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:
49 x 49 x 49 x 49 x ... (for a total of 72 times) = 49444474103684206116775527232630036506216454451115951114140937939189086681861783742884254926894497682656270887314988886401
Therefore, 49 to the power of 72 is 49444474103684206116775527232630036506216454451115951114140937939189086681861783742884254926894497682656270887314988886401.