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Question

Sort the given expressions in decreasing order.
(Highest on top)
Given:
a=13, b=13

A
125b
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B
64a
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C
(125+64)a+b
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D
64b+125a
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Solution

Given:
a=13, b=13

125b = 12513 = 53(13) = 15 = 0.2


64a = 6413 = 43(13) = 4


(125+64)a+b = (189)a+b=(189)1313 = (189)0 = 1


64b+125a = 6413 + 12513 = 43(13) + 53(13) = 14 + 5 = 5.25

Hence,
(64b+125a) > (64a) > (125+64)a+b > (125b)

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