Solution: 83 to the Power of 21 is equal to 1.998204533221468e+40
Methods
Step-by-step: finding 83 to the power of 21
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
2
4
2^4
2 4
. To solve this, we need to multiply the base, 2 by itself, 4 times -
2
⋅
2
⋅
2
⋅
2
2\cdot2\cdot2\cdot2
2 ⋅ 2 ⋅ 2 ⋅ 2
= 16. So
2
4
=
16
2^4 = 16
2 4 = 16
.
So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:
8
3
21
83^{21}
8 3 21
To simplify this, all that is needed is to multiply it out:
83 x 83 x 83 x 83 x ... (for a total of 21 times) = 1.998204533221468e+40
Therefore, 83 to the power of 21 is 1.998204533221468e+40.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 13 to the Power of 96?
What is 25 to the Power of 47?
What is 72 to the Power of 3?
What is 60 to the Power of 9?
What is 74 to the Power of 27?