What is 24 to the Power of 52?

In order to solve for 24 to the power of 52, we must first understand the structure. The number 24 is called the base, and the number 52 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: 24 to the Power of 52 is equal to 590180110002114158896983994712576414865667267958188575935810179040280576

Methods

Step-by-step: finding 24 to the power of 52

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:

245224^{52}

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

24 x 24 x 24 x 24 x ... (for a total of 52 times) = 590180110002114158896983994712576414865667267958188575935810179040280576

Therefore, 24 to the power of 52 is 590180110002114158896983994712576414865667267958188575935810179040280576.

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