Solution: 40 to the Power of 6 is equal to 4096000000
Methods
Step-by-step: finding 40 to the power of 6
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:
4
0
6
40^{6}
4 0 6
To simplify this, all that is needed is to multiply it out:
40 x 40 x 40 x 40 x 40 x 40 = 4096000000
Therefore, 40 to the power of 6 is 4096000000.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 1 to the Power of 39?
What is 29 to the Power of 38?
What is 10 to the Power of 83?
What is 6 to the Power of 55?
What is 26 to the Power of 8?