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:
61 x 61 x 61 x 61 x ... (for a total of 75 times) = 79384849506413005941226109039716470297261321814500519585982138956942511673277709658449188409735429946471778424736662996607289291394501
Therefore, 61 to the power of 75 is 79384849506413005941226109039716470297261321814500519585982138956942511673277709658449188409735429946471778424736662996607289291394501.