Verified Answer :

Step 1. Use Division Distributive Property \(( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }\)

Step 2. Simplify \(3^{2}\) to \(9\)

\(\frac{1}{9} *18+( \frac{1}{2} ) ^{2}*4\)

Step 3. Use Division Distributive Property  \(( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }\)

\(\frac{1}{9} *18+ \frac{1}{ 2^{2} } *4\)

Step 4. Simplify \(2^{2}\) to \(4\)

\(\frac{1}{9} *18+ \frac{1}{4} *4\)

Step 5. Simplify \(\frac{1}{9} *18\) to \(\frac{18}{9}\)

\(\frac{18}{9} + \frac{1}{4} *4\)

Step 6. Simplify \(\frac{18}{9}\) to \(2\)

\(2+ \frac{1}{4} *4\)

Step 7. Simplify \(\frac{1}{4} *4\) to \(1\)

\(2+1\)

Step 8. Simplify

\(3\)

Done! Your answer is 3