MATH SOLVE

2 months ago

Q:
# What is 30 to the Power of 100?

Accepted Solution

A:

Solution: 30 to the Power of 100 is equal to 5.1537752073201134e+147
Methods
Step-by-step: finding 30 to the power of 100
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
0
100
30^{100}
3 0 100
To simplify this, all that is needed is to multiply it out:
30 x 30 x 30 x 30 x ... (for a total of 100 times) = 5.1537752073201134e+147
Therefore, 30 to the power of 100 is 5.1537752073201134e+147.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 24 to the Power of 79?
What is 27 to the Power of 36?
What is 1 to the Power of 31?
What is 14 to the Power of 60?
What is 3 to the Power of 9?