Math Tutor Explains: What is 54 to the Power of 87?

A math tutor would explain that to solve for 54 to the power of 87, we must first understand the structure. The number 54 is called the base, and the number 87 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: 54 to the Power of 87 is equal to 5227055418276659830038602655972870729699366374680131599020679339129238180189316196904329294853686109780477026633645762454938205526319940822539786256384

Methods

Step-by-step from math tutor: finding 54 to the power of 87

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:

548754^{87}

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

54 x 54 x 54 x 54 x ... (for a total of 87 times) = 5227055418276659830038602655972870729699366374680131599020679339129238180189316196904329294853686109780477026633645762454938205526319940822539786256384

Therefore, 54 to the power of 87 is 5227055418276659830038602655972870729699366374680131599020679339129238180189316196904329294853686109780477026633645762454938205526319940822539786256384.

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