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

Solution:

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

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/aⁿ = (1/a) × (1/a) × … × 1/a (n times)

Hence, 3 to the power of negative 2 can be written as 1/3².

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

Therefore, 1/3² = (1/3) ×(1/3) = (1/9)

Hence, 3 to the power of negative 2 is 1/9.

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

Summary:

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