Solution: 5 to the Power of 21 is equal to 476837158203125
Methods
Step-by-step: finding 5 to the power of 21
The first step is to understand what it means when a number has an exponent. The βpowerβ 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
β
2
β
2
β
2
2\cdot2\cdot2\cdot2
2 β 2 β 2 β 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:
5
21
5^{21}
5 21
To simplify this, all that is needed is to multiply it out:
5 x 5 x 5 x 5 x ... (for a total of 21 times) = 476837158203125
Therefore, 5 to the power of 21 is 476837158203125.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 12 to the Power of 31?
What is 6 to the Power of 4?
What is 26 to the Power of 69?
What is 9 to the Power of 42?
What is 21 to the Power of 10?