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:
89 x 89 x 89 x 89 x ... (for a total of 82 times) = 7079140712027552667182299581434256526991176269638047946580997490335244258898019247969174810646933497760117220088363519276223497956123431340266882741789798852721
Therefore, 89 to the power of 82 is 7079140712027552667182299581434256526991176269638047946580997490335244258898019247969174810646933497760117220088363519276223497956123431340266882741789798852721.