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Question
Simplify, giving Solution with positive index
(2a3)4 (4a2)2
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Solution
(2a3)4 (4a2)2
= (2a3)4 (22a2)2
= 24 a3×4 . 22×2 a2×2
= 24a12 . 24a4
= 24+4 a12+4
= 28a16
= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × a16
= 256 a16
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