Simplify the following: (i) 3a/b-1 + 2b/a-1

(i) 3a/b^-1 + 2b/a^-1

Solution:

3a/b^-1 + 2b/a^-1

= 3a/(1/b) + 2b/(1/a)

= (3a x b)/1 + (2b x a)/1

= 3ab + 2ab = 5ab

(ii) 5⁰ x 4^-1 + 8^1/3

Solution:

5⁰ x 4^-1 + 8^1/3

= 1 x (1/4) + (2)^{3 x 1/3}

= ¼ + 2

= (1 + 8)/4

= 9/4 = 2¼

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