Math Tutor Explains: What is 99 to the Power of 44?

A math tutor would explain that to solve for 99 to the power of 44, we must first understand the structure. The number 99 is called the base, and the number 44 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: 99 to the Power of 44 is equal to 6426116020847184086639174440398367235219704981296097601890873440195793261405481865455601

Methods

Step-by-step from math tutor: finding 99 to the power of 44

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:

994499^{44}

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

99 x 99 x 99 x 99 x ... (for a total of 44 times) = 6426116020847184086639174440398367235219704981296097601890873440195793261405481865455601

Therefore, 99 to the power of 44 is 6426116020847184086639174440398367235219704981296097601890873440195793261405481865455601.

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