Solution: 78 to the Power of 4 is equal to 37015056
Methods
Step-by-step: finding 78 to the power of 4
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:
7
8
4
78^{4}
7 8 4
To simplify this, all that is needed is to multiply it out:
78 x 78 x 78 x 78 = 37015056
Therefore, 78 to the power of 4 is 37015056.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 26 to the Power of 19?
What is 22 to the Power of 96?
What is 11 to the Power of 3?
What is 8 to the Power of 94?
What is 7 to the Power of 33?