What is 80 to the Power of 23?

In order to solve for 80 to the power of 23, we must first understand the structure. The number 80 is called the base, and the number 23 is called the exponent. In short, the base must be multiplied by itself the number of times as the exponent. Let’s look at this problem in more detail.

Solution: 80 to the Power of 23 is equal to 59029581035870565171200000000000000000000000

Methods

Step-by-step: finding 80 to the power of 23

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

242^4
. To solve this, we need to multiply the base, 2 by itself, 4 times -
2⋅2⋅2⋅22\cdot2\cdot2\cdot2
= 16. So
24=162^4 = 16
.

So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:

802380^{23}

To simplify this, all that is needed is to multiply it out:

80 x 80 x 80 x 80 x ... (for a total of 23 times) = 59029581035870565171200000000000000000000000

Therefore, 80 to the power of 23 is 59029581035870565171200000000000000000000000.

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