Let's solve the expression step by step:

\[
2 \left(\dfrac{1}{3^2}\right)
\]

1. First, calculate \(3^2\):

\[
3^2 = 9
\]

2. Now, substitute this into the expression:

\[
2 \left(\dfrac{1}{9}\right)
\]

3. Finally, multiply \(2\) by \(\dfrac{1}{9}\):

\[
2 \times \dfrac{1}{9} = \dfrac{2}{9}
\]

So, the solution is:

\[
\dfrac{2}{9}
\]

Would you like more details or have any questions? Here are 5 related questions:

1. How would you simplify \(4\left(\dfrac{1}{5^2}\right)\)?
2. What is \(3\left(\dfrac{1}{2^3}\right)\)?
3. How do you solve \(5 \left(\dfrac{1}{4^2}\right)\)?
4. Can you simplify \(2\left(\dfrac{1}{2^2}\right)\)?
5. What is the value of \(6\left(\dfrac{1}{3^2}\right)\)?

**Tip:** When dealing with expressions involving exponents and fractions, always evaluate the exponent first before proceeding with multiplication.

Learn how to simplify the expression 2(1/3^2) with a clear, step-by-step breakdown. This problem covers exponentiation and multiplication of fractions, making it suitable for students in Grades 6-8. Final answer: 2/9.

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