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Question

Question 6(ii)
Evaluate:
(58)7×(85)4


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Solution

(58)7×(85)4=5787×8454 [(ab)m=ambm]=57(4)×84(7) [am÷an=amn]=57+4×84+7=53×83=8353 [am=1am]=512125

Alternative:

(58)7×(85)4
= (85)7×(85)4 [am=1am]
= (85)7+(4) [am×an=am+n]
= (85)(74)
= (85)3
=512125


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