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:
21 x 21 x 21 x 21 x ... (for a total of 100 times) = 1666976484396337359195972108050766529167300667828951014331365469362133029070327866633033064632426906380900918045096212631206355582001
Therefore, 21 to the power of 100 is 1666976484396337359195972108050766529167300667828951014331365469362133029070327866633033064632426906380900918045096212631206355582001.