# What is the value of 3 to the power of negative 2?

We will use the negative property of exponents for solving this question.

## Answer: 3 to the power of negative 2 is 1/9.

Let's solve the question further step by step.

**Explanation:**

Given, 3 to the power of negative 2

Basically, a negative exponent shows that how many times we can multiply the reciprocal of the base.

For example, a^{-n} = 1/a^{n }= (1/a) × (1/a) × … × 1/a (n times)

Hence, 3 to the power of negative 2 can be written as 1/3^{2}.

Where (1/3) is the base, whereas 2 is the exponent of the expression.

Therefore, 1/3^{2} = (1/3) ×(1/3) = (1/9)