Work out the value of $k$ if \[ k \times 3^{-2}=4 \]

Step 1 ：Rewrite the equation as: \(k = \frac{4}{3^{-2}}\)

Step 2 ：Calculate the value of \(3^{-2}\) which is \(\frac{1}{3^2}\) or \(\frac{1}{9}\)

Step 3 ：Substitute the value of \(3^{-2}\) in the equation: \(k = \frac{4}{\frac{1}{9}}\)

Step 4 ：Multiply both numerator and denominator by 9: \(k = \frac{4 \times 9}{1}\)

Step 5 ：Calculate the value of k: \(k = 36\)

Step 6 ：\(\boxed{k = 36}\)