What is 9 to the Power of 86?

In order to solve for 9 to the power of 86, we must first understand the structure. The number 9 is called the base, and the number 86 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: 9 to the Power of 86 is equal to 11610630703530923996233764322605633554400975674804937772291047972101377433780374641

Methods

Step-by-step: finding 9 to the power of 86

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 -
22222\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:

9869^{86}

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

9 x 9 x 9 x 9 x ... (for a total of 86 times) = 11610630703530923996233764322605633554400975674804937772291047972101377433780374641

Therefore, 9 to the power of 86 is 11610630703530923996233764322605633554400975674804937772291047972101377433780374641.

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