# What is 2 to the 9th power?

The exponent or power of a number shows how many times the number is multiplied by itself.

## Answer: The value of 2 raised to 9^{th} power i.e., 2^{9} is 512.

Let us calculate the value of 2 raised to 9^{th} power i.e., 2^{9}.

**Explanation:**

According to the power rule of exponents,

a^{m × n} = (a^{m})^{n}

Thus, 2^{9} can be written as 2^{3 × 3} = (2^{3})^{3}

2^{9} = (2^{3})^{3}

2^{9} = (8)^{3} = 8 × 8 × 8 = 512