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Q3. Fully simplify EACH of the following:

(i) (4a⁴ b² c⁶ )^1/2/(2 ab² c³ )²                            (4)

(ii) log₂ 16 + log₃ 27 - log₅ 25         (4)

(b) The value of a vessel at any age can be determined from the formula:

R_v = C (1 - r/100)ⁿ

where n = the age of the vessel in years

r = the rate of depreciation

C = the value of the vessel when new

R_v = the residual value of the vessel after n years

Use the formula to determine how long it will take a vessel, which cost £17 M to build and depreciates in value by 14% each year, to fall to its scrap value of £850 000. (8)