Solution: 2 to the Power of 38 is equal to 274877906944
Methods
Step-by-step: finding 2 to the power of 38
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:
2
38
2^{38}
2 38
To simplify this, all that is needed is to multiply it out:
2 x 2 x 2 x 2 x ... (for a total of 38 times) = 274877906944
Therefore, 2 to the power of 38 is 274877906944.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 10 to the Power of 42?
What is 19 to the Power of 66?
What is 3 to the Power of 39?
What is 8 to the Power of 37?
What is 17 to the Power of 59?