Solution: 37 to the Power of 24 is equal to 4.333525711119334e+37
Methods
Step-by-step: finding 37 to the power of 24
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
24
37^{24}
3 7 24
To simplify this, all that is needed is to multiply it out:
37 x 37 x 37 x 37 x ... (for a total of 24 times) = 4.333525711119334e+37
Therefore, 37 to the power of 24 is 4.333525711119334e+37.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 1 to the Power of 48?
What is 9 to the Power of 39?
What is 16 to the Power of 65?
What is 24 to the Power of 51?
What is 20 to the Power of 38?