# 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 is the number being multiplied.

## 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 exponents states that if p is a positive integer and m is any real number, then p^{m} can be represented as:

p^{m} = p × p × … × 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

### Hence, 2 to the power of 20 is 1048576.

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