Math Tutor Explains: What is 95 to the Power of 35?

A math tutor would explain that to solve for 95 to the power of 35, we must first understand the structure. The number 95 is called the base, and the number 35 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: 95 to the Power of 35 is equal to 1660833839876074270516899051993130769862684825784526765346527099609375

Methods

Step-by-step from math tutor: finding 95 to the power of 35

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:

953595^{35}

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

95 x 95 x 95 x 95 x ... (for a total of 35 times) = 1660833839876074270516899051993130769862684825784526765346527099609375

Therefore, 95 to the power of 35 is 1660833839876074270516899051993130769862684825784526765346527099609375.

Math Tutor Suggests: Try related exponent problems

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