Solution: 52 to the Power of 3 is equal to 140608
Methods
Step-by-step: finding 52 to the power of 3
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:
5
2
3
52^{3}
5 2 3
To simplify this, all that is needed is to multiply it out:
52 x 52 x 52 = 140608
Therefore, 52 to the power of 3 is 140608.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 17 to the Power of 64?
What is 22 to the Power of 28?
What is 10 to the Power of 3?
What is 43 to the Power of 27?
What is 47 to the Power of 15?