Solution: 66 to the Power of 4 is equal to 18974736
Methods
Step-by-step: finding 66 to the power of 4
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
6
4
66^{4}
6 6 4
To simplify this, all that is needed is to multiply it out:
66 x 66 x 66 x 66 = 18974736
Therefore, 66 to the power of 4 is 18974736.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 16 to the Power of 7?
What is 96 to the Power of 26?
What is 86 to the Power of 30?
What is 40 to the Power of 8?
What is 97 to the Power of 67?