Math Tutor Explains: What is 43 to the Power of 55?

A math tutor would explain that to solve for 43 to the power of 55, we must first understand the structure. The number 43 is called the base, and the number 55 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: 43 to the Power of 55 is equal to 693050780377925128009970408968609162534388640216934396874378942301497509966057170043230307

Methods

Step-by-step from math tutor: finding 43 to the power of 55

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:

435543^{55}

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

43 x 43 x 43 x 43 x ... (for a total of 55 times) = 693050780377925128009970408968609162534388640216934396874378942301497509966057170043230307

Therefore, 43 to the power of 55 is 693050780377925128009970408968609162534388640216934396874378942301497509966057170043230307.

Math Tutor Suggests: Try related exponent problems

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