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:
36 x 36 x 36 x 36 x ... (for a total of 71 times) = 314396392743435724547789100428915015357890587793686001755213983309508483567119453310196978795277588620678004736
Therefore, 36 to the power of 71 is 314396392743435724547789100428915015357890587793686001755213983309508483567119453310196978795277588620678004736.