What is 27 to the Power of 52?

In order to solve for 27 to the power of 52, we must first understand the structure. The number 27 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: 27 to the Power of 52 is equal to 269721605590607563262106870407286853611938890184108047911269431464974473521

Methods

Step-by-step: finding 27 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:

275227^{52}

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

27 x 27 x 27 x 27 x ... (for a total of 52 times) = 269721605590607563262106870407286853611938890184108047911269431464974473521

Therefore, 27 to the power of 52 is 269721605590607563262106870407286853611938890184108047911269431464974473521.

Download FREE Math Resources

Take advantage of our free downloadable resources and study materials for at-home learning.

8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF

How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.

Get PDF

Your Child Can Improve Their Math Scores By 90% Within 3 months!

Our elite math tutors are ready to help make your child a math champion! Sign up for our zero $ free trial to get started today.

Start Zero $ 7-Day Trial