Solution: 2 to the Power of 58 is equal to 288230376151711740
Methods
Step-by-step: finding 2 to the power of 58
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
58
2^{58}
2 58
To simplify this, all that is needed is to multiply it out:
2 x 2 x 2 x 2 x ... (for a total of 58 times) = 288230376151711740
Therefore, 2 to the power of 58 is 288230376151711740.
Related exponent problems:
Here some other problems that you can read and practice with!
What is 12 to the Power of 80?
What is 18 to the Power of 59?
What is 33 to the Power of 17?
What is 92 to the Power of 15?
What is 50 to the Power of 24?