Solution: 54 to the Power of 65 is equal to 4.032685823201973e+112
Methods
Step-by-step: finding 54 to the power of 65
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:
5
4
65
54^{65}
5 4 65
To simplify this, all that is needed is to multiply it out:
54 x 54 x 54 x 54 x ... (for a total of 65 times) = 4.032685823201973e+112
Therefore, 54 to the power of 65 is 4.032685823201973e+112.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 21 to the Power of 51?
What is 16 to the Power of 36?
What is 30 to the Power of 94?
What is 12 to the Power of 44?
What is 15 to the Power of 90?