Question 5

Simplify the following expressions.

(a) \( x^ \frac {1}{2} \times x^ \frac {3}{2} \) (b) \( y^ \frac {2}{3} \times y^2 \) (c) \( y^ \frac {2}{3} \div y^ \frac {1}{3} \)
(d) \( a^ \frac {1}{3} \times a^ \frac {1}{2} \) (e) \( (x^ \frac {1}{2}) ^ 4 \) (f) \( 2x^ \frac {1}{2} \times 5x^ \frac {2}{3} \)
(g) \( 12a^ \frac {3}{4} \div 3a^ \frac {1}{2} \) (h) \( (x^ \frac {1}{2}) ^ \frac {2}{3} \) (i) \( (3x^ \frac {1}{3}) ^3 \)
(j) \( 6x^ \frac {2}{3} \div 3x^ \frac{1}{2} \) (k) \( 4y^ \frac {3}{4} \times 3y^{-\frac {1}{2}} \) (l) \( 8x^ \frac {1}{3} \div 4x^{-\frac {1}{2}} \)