Math Tutor Explains: What is 54 to the Power of 43?

A math tutor would explain that to solve for 54 to the power of 43, we must first understand the structure. The number 54 is called the base, and the number 43 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: 54 to the Power of 43 is equal to 311122680884372179102053012609888510161372015300154309270305682972594929664

Methods

Step-by-step from math tutor: finding 54 to the power of 43

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:

544354^{43}

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

54 x 54 x 54 x 54 x ... (for a total of 43 times) = 311122680884372179102053012609888510161372015300154309270305682972594929664

Therefore, 54 to the power of 43 is 311122680884372179102053012609888510161372015300154309270305682972594929664.

Math Tutor Suggests: Try related exponent problems

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

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