What is 27 to the Power of 81?

In order to solve for 27 to the power of 81, we must first understand the structure. The number 27 is called the base, and the number 81 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: 27 to the Power of 81 is equal to 87189642485960958202911070585860771696964072404731750085525219437990967093723439943475549906831683116791055225665627

Methods

Step-by-step: finding 27 to the power of 81

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:

278127^{81}

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

27 x 27 x 27 x 27 x ... (for a total of 81 times) = 87189642485960958202911070585860771696964072404731750085525219437990967093723439943475549906831683116791055225665627

Therefore, 27 to the power of 81 is 87189642485960958202911070585860771696964072404731750085525219437990967093723439943475549906831683116791055225665627.

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