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:
27 x 27 x 27 x 27 x ... (for a total of 78 times) = 4429692754456178336783573163941511542801609124865708991796231237006094959798985924070291617478620287394759702569
Therefore, 27 to the power of 78 is 4429692754456178336783573163941511542801609124865708991796231237006094959798985924070291617478620287394759702569.