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Simplify the following using the law am × bm = (ab)

i) (2 × 3)4

ii) xp × yp

iii) a8 × b8

iv) (5 × 4)11

1 Answer

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i) (2 × 3)4 = 24 × 3 4 = (2 × 2 × 2 × 2) × (3 × 3 × 3 × 3) 

= 16 × 81 = 1296

ii) xp × yp = (x . y)p

iii) a8 × b8 = (a.b)8

iv) (5 × 4)11 = 511 × 411 = 511 × (2 × 2)11

= 511 × 211 × 211 = (5 × 2)11 × 211 = 1011 × 211

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