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., 2⁸ is 256.

Let us calculate the value of 2 raised to 8^th power i.e., 2⁸.

Explanation:

According to the power rule of exponents,

a^{m × n} = (a^m)ⁿ

Thus, 2⁸ can be written as 2^{4 × 2} = (2⁴)² 

2⁸ = (2⁴)²

2⁸ = (16)² = 16 × 16 = 256

Thus, the value of 2 raised to 8^th power i.e., 2⁸ = 256.