**(1)** If \( \sqrt[3]{x} = 9 \), what is the value of \( x^2 \)?

- (a) 81
- (b) 243
- (c) 729
- (d) 6561

**(2)** What is the simplified result of \( \left(\frac{16}{81}\right)^{-\frac{1}{4}} \)?

- (a) \(\frac{3}{2}\)
- (b) \(\frac{9}{4}\)
- (c) \(\frac{4}{9}\)
- (d) \(\frac{2}{3}\)

**(3)** Express \( 8^{\frac{2}{3}} \) as a surd.

- (a) \( 2\sqrt[3]{4} \)
- (b) \( 4\sqrt[3]{2} \)
- (c) \( 4\sqrt[3]{2} \)
- (d) \( 2\sqrt{2} \)

**(4)** If \( a^2 + b^2 = 25 \) and \( ab = 6 \), what is the value of \( a^3 + b^3 \)?

- (a) 175
- (b) 50
- (c) 30
- (d) 36

**(5)** If \( \sqrt{x} – \sqrt{y} = 3 \) and \( x + y = 16 \), what is the value of \( x \) and \( y \)?

- (a) \(x = 7, y = 9\)
- (b) \(x = 10, y = 6\)
- (c) \(x = 8, y = 8\)
- (d) \(x = 9, y = 7\)