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:
51 x 51 x 51 x 51 x ... (for a total of 86 times) = 709635191465129811650574458525385913738668096172832445692012735395607487283412332656198266934497801226144638591373450922008744247072210207520391801
Therefore, 51 to the power of 86 is 709635191465129811650574458525385913738668096172832445692012735395607487283412332656198266934497801226144638591373450922008744247072210207520391801.