Q3 of 53 Page 28

Which is larger: (53 × 54 × 55 × 56) or (57 × 58)?

53 × 54 × 55 × 56 = 5(3 + 4 + 5 + 6)

⇒ 53 × 54 × 55 × 56 = 518


57 × 58 = 5(7 + 8)


⇒ 57 × 58 = 515


Since the power of 5 in 53 × 54 × 55 × 56 is greater so 53 × 54 × 55 × 56 is greater than 57 × 58


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