Math Tutor Explains: What is 72 to the Power of 69?

A math tutor would explain that to solve for 72 to the power of 69, we must first understand the structure. The number 72 is called the base, and the number 69 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: 72 to the Power of 69 is equal to 143199748015694657530717646551508751674330743615790604558549652360577468199210801128731738311495811206437806797028622691458875392

Methods

Step-by-step from math tutor: finding 72 to the power of 69

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:

726972^{69}

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

72 x 72 x 72 x 72 x ... (for a total of 69 times) = 143199748015694657530717646551508751674330743615790604558549652360577468199210801128731738311495811206437806797028622691458875392

Therefore, 72 to the power of 69 is 143199748015694657530717646551508751674330743615790604558549652360577468199210801128731738311495811206437806797028622691458875392.

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