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

Answer

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Answer

$\boxed{k = 36}$

Steps

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 ：$\boxed{k = 36}$