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

**Solution:**

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

Given, 2 to the power of 24

Basically, the rule for exponentiation states that if p is any real number and, m 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

Hence, 2 to the power of 24 is 16,777,216.

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

**Summary:**

2 to the power of 24 is 16777216.

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