Solution: 30 to the Power of 2 is equal to 900
Methods
Step-by-step: finding 30 to the power of 2
The first step is to understand what it means when a number has an exponent. The “power” 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
⋅
2
⋅
2
⋅
2
2\cdot2\cdot2\cdot2
2 ⋅ 2 ⋅ 2 ⋅ 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
2
30^{2}
3 0 2
To simplify this, all that is needed is to multiply it out:
30 x 30 = 900
Therefore, 30 to the power of 2 is 900.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 25 to the Power of 90?
What is 47 to the Power of 20?
What is 44 to the Power of 3?
What is 45 to the Power of 28?
What is 26 to the Power of 91?