Knowledge/Understanding [8, 6, 6 marks]\ a) Write each of the following as a single power.\ i)

(2^(4)\\\\times 2^(5))^(3)

\ ii)

(3^(9)\\\\times 3^(4))/(3^(6))

\ iii)

\\\ oot(4)(6)\\\\times 6^(2)

\ iv)

(5^(2)\\\\times 5^(3))/(5^(4)\\\\times 5^(2))

\ b) Evaluate each of the following:\ i)

2^(4)+2^(2)

\ ii)

3^(-2)+3^(0)

\ iii)

9^((1)/(2))+25^((1)/(2))

\ c) Simplify each of the following. Express all answers with positive exponents if possible.\ i)

(2x^(3))(-7x^(5))

\ ii)

(-45x^(5)y^(7)z^(9))/(9x^(7)y^(7)z^(5))

\ iii)

((x^(a+b))^(a-b))/((x^(a-2b))^(a+2b))

1. Knowledge/Understanding [8,6,6 marks ] a) Write each of the following as a single power. i) (2425)3 ii) 363934 iii) 4662 iv) 54525253 b) Evaluate each of the following: i) 24+22 ii) 32+30 iii) 921+2521 c) Simplify each of the following. Express all answers with positive exponents if possible. i) (2x3)(7x5) ii) 9x7y7z545x5y7z9 iii) (xa2b)a+2b(xa+b)ab