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35)

1.

a. 25 = 5 x 5 = 5²

b. 125 = 5 x 5 x 5 = 5³

c. 456 = 2 x 2 x 2 x 3 x 19 = 2³ x 3 x 19

d. 2 016 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 = 2⁵ x 3² x 7.

2.

25/125 = [(5 x 5) x 1] / [(5 x 5) x 5] = (25 x 1) / (25 x 5) = 1/5

2 016/46 = [2 x (2 x 2 x 2 x 2 x 3 x 3 x 7)] / [2 x (2 x 2 x 3 x 19)] = (2 x 1 008) / (2 x 23) = 1 008/23

36)

a. 2 268/648 = (324 x 7) / (324 x 2) = 7/2

b. 90/630 = (90 x 1) / (90 x 7) = 1/7

c. 1 458/1 134 = (162 x 9) / (162x 7) = 9/7

d. 5 400/1 440 = (360 x 15) / (360 x 4) = 15/4.