Math Tutor Explains: What is 89 to the Power of 49?

A math tutor would explain that to solve for 89 to the power of 49, we must first understand the structure. The number 89 is called the base, and the number 49 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: 89 to the Power of 49 is equal to 331215250758990515246318870841230909491926823741104503631347502566710897655956027951559072814809

Methods

Step-by-step from math tutor: finding 89 to the power of 49

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:

894989^{49}

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

89 x 89 x 89 x 89 x ... (for a total of 49 times) = 331215250758990515246318870841230909491926823741104503631347502566710897655956027951559072814809

Therefore, 89 to the power of 49 is 331215250758990515246318870841230909491926823741104503631347502566710897655956027951559072814809.

Math Tutor Suggests: Try related exponent problems

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