Math Tutor Explains: What is 36 to the Power of 59?

A math tutor would explain that to solve for 36 to the power of 59, we must first understand the structure. The number 36 is called the base, and the number 59 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: 36 to the Power of 59 is equal to 66351011093336388265483390047725918911928587773465486323390644426653600903401882873197756416

Methods

Step-by-step from math tutor: finding 36 to the power of 59

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:

365936^{59}

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

36 x 36 x 36 x 36 x ... (for a total of 59 times) = 66351011093336388265483390047725918911928587773465486323390644426653600903401882873197756416

Therefore, 36 to the power of 59 is 66351011093336388265483390047725918911928587773465486323390644426653600903401882873197756416.

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