What is 2 to the 9th power?

2 to the 9th power, written mathematically as 2⁹, equals 512. To understand why this is the case, let’s break it down.

The expression 2⁹ means you multiply the number 2 by itself a total of 9 times. So, it looks like this:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

If you do the multiplication step by step, you can simplify it as follows:

2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512

Therefore, when you complete all these multiplications, you end up with 512. This makes 2⁹ = 512, which is often useful in various fields such as computer science where powers of 2 are commonly encountered.