# What is 16 to the Power of 7?

In order to solve for 16 to the power of 7, we must first understand the structure. The number 16 is called the base, and the number 7 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: 16 to the Power of 7 is equal to 268435456

Methods

### Step-by-step: finding 16 to the power of 7

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

$2^4$
. To solve this, we need to multiply the base, 2 by itself, 4 times -
$2\cdot2\cdot2\cdot2$
= 16. So
$2^4 = 16$
.

So re-applying these steps to our particular problem, we first convert our word problem to a base-exponent form of:

$16^{7}$

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

16 x 16 x 16 x 16 x 16 x 16 x 16 = 268435456

Therefore, 16 to the power of 7 is 268435456.

### Related exponent problems:

Here some other problems that you can read and practice with!

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