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:
78 x 78 x 78 x 78 x ... (for a total of 90 times) = 194318541511386620604272086900993655899895507277994529575248946687513355552949667129698033352336856493950067913181206627604812348945763416745292702169546693908353802829824
Therefore, 78 to the power of 90 is 194318541511386620604272086900993655899895507277994529575248946687513355552949667129698033352336856493950067913181206627604812348945763416745292702169546693908353802829824.