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:
65 x 65 x 65 x 65 x ... (for a total of 81 times) = 701426045357906155668407856211154966346997374201651876970060483772271166945061907307765042814399326261674307014803986248807632364332675933837890625
Therefore, 65 to the power of 81 is 701426045357906155668407856211154966346997374201651876970060483772271166945061907307765042814399326261674307014803986248807632364332675933837890625.