Math Tutor Explains: What is 71 to the Power of 55?

A math tutor would explain that to solve for 71 to the power of 55, we must first understand the structure. The number 71 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: 71 to the Power of 55 is equal to 659491465270814187101370230033026483820418915748624883501055252483509972765032663227573620207174135351

Methods

Step-by-step from math tutor: finding 71 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:

715571^{55}

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

71 x 71 x 71 x 71 x ... (for a total of 55 times) = 659491465270814187101370230033026483820418915748624883501055252483509972765032663227573620207174135351

Therefore, 71 to the power of 55 is 659491465270814187101370230033026483820418915748624883501055252483509972765032663227573620207174135351.

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