MATH SOLVE

4 months ago

Q:
# What is 6 to the Power of 33?

Accepted Solution

A:

Solution: 6 to the Power of 33 is equal to 4.7751966659678405e+25
Methods
Step-by-step: finding 6 to the power of 33
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:
6
33
6^{33}
6 33
To simplify this, all that is needed is to multiply it out:
6 x 6 x 6 x 6 x ... (for a total of 33 times) = 4.7751966659678405e+25
Therefore, 6 to the power of 33 is 4.7751966659678405e+25.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 15 to the Power of 66?
What is 17 to the Power of 64?
What is 13 to the Power of 70?
What is 7 to the Power of 28?
What is 2 to the Power of 5?