# What is 2 to the 8^{th} power?

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

## Answer: The value of 2 raised to 8^{th} power i.e., 2^{8} is 256.

Let us calculate the value of 2 raised to 8^{th} power i.e., 2^{8}.

**Explanation:**

According to the power rule of exponents,

a^{m × n} = (a^{m})^{n}

Thus, 2^{8} can be written as 2^{4 × 2} = (2^{4})^{2}

2^{8} = (2^{4})^{2}

2^{8} = (16)^{2} = 16 × 16 = 256

### Thus, the value of 2 raised to 8^{th} power i.e., 2^{8 }= 256.

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