Math Tutor Explains: What is 55 to the Power of 56?

A math tutor would explain that to solve for 55 to the power of 56, we must first understand the structure. The number 55 is called the base, and the number 56 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.

Math Tutor's Solution: 55 to the Power of 56 is equal to 28860949285781355795036746167855242710318255539896939963152855401773422272526659071445465087890625

Methods

Step-by-step from math tutor: finding 55 to the power of 56

The first step a math tutor would suggest 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:

555655^{56}

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

55 x 55 x 55 x 55 x ... (for a total of 56 times) = 28860949285781355795036746167855242710318255539896939963152855401773422272526659071445465087890625

Therefore, 55 to the power of 56 is 28860949285781355795036746167855242710318255539896939963152855401773422272526659071445465087890625.

Math Tutor Suggests: Try related exponent problems

Our math tutors suggest reviewing other exponent problems that you can practice with!

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