Solution: 65 to the Power of 3 is equal to 274625
Methods
Step-by-step: finding 65 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:
6
5
3
65^{3}
6 5 3
To simplify this, all that is needed is to multiply it out:
65 x 65 x 65 = 274625
Therefore, 65 to the power of 3 is 274625.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 5 to the Power of 97?
What is 25 to the Power of 76?
What is 18 to the Power of 69?
What is 20 to the Power of 92?
What is 27 to the Power of 95?