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:
86 x 86 x 86 x 86 x ... (for a total of 100 times) = 28173780346657203796913888277260380209208129923691210868174742105586869743177659537880885196369372626803980042209955491452336383554142679956801722660638417199187946434447200020476481425821925376
Therefore, 86 to the power of 100 is 28173780346657203796913888277260380209208129923691210868174742105586869743177659537880885196369372626803980042209955491452336383554142679956801722660638417199187946434447200020476481425821925376.