Math Tutor Explains: What is 69 to the Power of 92?

A math tutor would explain that to solve for 69 to the power of 92, we must first understand the structure. The number 69 is called the base, and the number 92 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: 69 to the Power of 92 is equal to 14931943839298457923594628432548306979232672780826963925103866491496298729110656596655635495137083578291733601399167633062715357200504228585774742457822313538441282514961

Methods

Step-by-step from math tutor: finding 69 to the power of 92

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:

699269^{92}

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

69 x 69 x 69 x 69 x ... (for a total of 92 times) = 14931943839298457923594628432548306979232672780826963925103866491496298729110656596655635495137083578291733601399167633062715357200504228585774742457822313538441282514961

Therefore, 69 to the power of 92 is 14931943839298457923594628432548306979232672780826963925103866491496298729110656596655635495137083578291733601399167633062715357200504228585774742457822313538441282514961.

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