# What is the value of 2 to the power of 20?

We solve this by rule of exponents and power. The exponent of any number represents how many times to use the number in a multiplication.

## Answer: 2 to the power of 20 is 1048576.

Let's figure out this question step by step.

**Explanation:**

Given, 2 to the power of 20

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

p^{m} = m × m × … × m (m times)

Hence, 2 to the power of 20 can be written as 2^{20}.

Here, the number 2 is called the base, whereas 20 is the power or exponent of the expression.

Therefore, 2^{20} = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 1048576