What is 66 to the Power of 69?

In order to solve for 66 to the power of 69, we must first understand the structure. The number 66 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.

Solution: 66 to the Power of 69 is equal to 353615711077166618840568486857354530671659967305520537122107586103634540446837236003453450325102404796284607785099529956622336

Methods

Step-by-step: finding 66 to the power of 69

The first step 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:

666966^{69}

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

66 x 66 x 66 x 66 x ... (for a total of 69 times) = 353615711077166618840568486857354530671659967305520537122107586103634540446837236003453450325102404796284607785099529956622336

Therefore, 66 to the power of 69 is 353615711077166618840568486857354530671659967305520537122107586103634540446837236003453450325102404796284607785099529956622336.

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