Solution: 12 to the Power of 13 is equal to 106993205379072
Methods
Step-by-step: finding 12 to the power of 13
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:
1
2
13
12^{13}
1 2 13
To simplify this, all that is needed is to multiply it out:
12 x 12 x 12 x 12 x ... (for a total of 13 times) = 106993205379072
Therefore, 12 to the power of 13 is 106993205379072.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 19 to the Power of 21?
What is 27 to the Power of 92?
What is 14 to the Power of 84?
What is 3 to the Power of 55?
What is 38 to the Power of 20?