What is the value of 3 to the power of negative 2?
We will use the 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.
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)