Solution: 37 to the Power of 13 is equal to 243569224216081300000
Methods
Step-by-step: finding 37 to the power of 13
The first step is to understand what it means when a number has an exponent. The βpowerβ 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
β
2
β
2
β
2
2\cdot2\cdot2\cdot2
2 β 2 β 2 β 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:
3
7
13
37^{13}
3 7 13
To simplify this, all that is needed is to multiply it out:
37 x 37 x 37 x 37 x ... (for a total of 13 times) = 243569224216081300000
Therefore, 37 to the power of 13 is 243569224216081300000.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 29 to the Power of 92?
What is 8 to the Power of 61?
What is 24 to the Power of 16?
What is 30 to the Power of 74?
What is 19 to the Power of 84?