# How much is the value of 2 to the power of 24?

The exponent of any number represents how many times to use the number in a multiplication and we use rule of exponents and power for solving this question.

## Answer: 2 to the power of 24 is 16777216.

Let's figure out the solution step by step.

**Explanation:**

Given, 2 to the power of 24

Basically, the rules for exponentiation states that if m is any real number and, p is a positive integer then p^{m} can be represented as:

p^{m} = m × m × … × m (m times)

Hence, 2 to the power of 24 can be written as 2^{24}.

Where the number 2 is the base, whereas 24 is the exponent of the expression.

Therefore, 2^{24} = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2× 2 × 2 × 2 × 2 = 16777216