Solution: 8 to the Power of 23 is equal to 590295810358705700000
Methods
Step-by-step: finding 8 to the power of 23
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:
8
23
8^{23}
8 23
To simplify this, all that is needed is to multiply it out:
8 x 8 x 8 x 8 x ... (for a total of 23 times) = 590295810358705700000
Therefore, 8 to the power of 23 is 590295810358705700000.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 25 to the Power of 70?
What is 23 to the Power of 52?
What is 14 to the Power of 44?
What is 12 to the Power of 17?
What is 9 to the Power of 27?