Solution: 26 to the Power of 84 is equal to 7.207111309838056e+118
Methods
Step-by-step: finding 26 to the power of 84
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:
2
6
84
26^{84}
2 6 84
To simplify this, all that is needed is to multiply it out:
26 x 26 x 26 x 26 x ... (for a total of 84 times) = 7.207111309838056e+118
Therefore, 26 to the power of 84 is 7.207111309838056e+118.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 11 to the Power of 8?
What is 27 to the Power of 13?
What is 30 to the Power of 79?
What is 7 to the Power of 25?
What is 24 to the Power of 65?