What is 84 to the Power of 28?

In order to solve for 84 to the power of 28, we must first understand the structure. The number 84 is called the base, and the number 28 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: 84 to the Power of 28 is equal to 758263253073010241157973569975696406218966848080183296

Methods

Step-by-step: finding 84 to the power of 28

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:

842884^{28}

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

84 x 84 x 84 x 84 x ... (for a total of 28 times) = 758263253073010241157973569975696406218966848080183296

Therefore, 84 to the power of 28 is 758263253073010241157973569975696406218966848080183296.

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