What is 2 to the Power of 6?

In order to solve for 2 to the power of 6, we must first understand the structure. The number 2 is called the base, and the number 6 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: 2 to the Power of 6 is equal to 64

Methods

Step-by-step: finding 2 to the power of 6

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 -
22222\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:

262^{6}

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

2 x 2 x 2 x 2 x 2 x 2 = 64

Therefore, 2 to the power of 6 is 64.

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