Math Tutor Explains: What is 43 to the Power of 74?

A math tutor would explain that to solve for 43 to the power of 74, we must first understand the structure. The number 43 is called the base, and the number 74 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 74 is equal to 7527759106010436115555044500680059146816674720321879134720064848309074900514271528869885307402427193466741659308228183449

Methods

Step-by-step from math tutor: finding 43 to the power of 74

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:

437443^{74}

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

43 x 43 x 43 x 43 x ... (for a total of 74 times) = 7527759106010436115555044500680059146816674720321879134720064848309074900514271528869885307402427193466741659308228183449

Therefore, 43 to the power of 74 is 7527759106010436115555044500680059146816674720321879134720064848309074900514271528869885307402427193466741659308228183449.

Math Tutor Suggests: Try related exponent problems

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

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