Math Tutor Explains: What is 95 to the Power of 43?

A math tutor would explain that to solve for 95 to the power of 43, we must first understand the structure. The number 95 is called the base, and the number 43 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 43 is equal to 11018311023500549609735094806780653565984285411025629922505686408840119838714599609375

Methods

Step-by-step from math tutor: finding 95 to the power of 43

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:

954395^{43}

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

95 x 95 x 95 x 95 x ... (for a total of 43 times) = 11018311023500549609735094806780653565984285411025629922505686408840119838714599609375

Therefore, 95 to the power of 43 is 11018311023500549609735094806780653565984285411025629922505686408840119838714599609375.

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