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1. Real Number System
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Q2 of 239 Page 25

Simplify:

(4p)3 × (2p)2 × p4

(4p)3 × (2p)2 × p4 = 43× p3× 22× p2× p4

⇒ (4p)3 × (2p)2 × p4 = 4×4× 4× p3× 2×2× p2× p4


⇒ (4p)3 × (2p)2 × p4 = 256 p3 + 2 + 4


(Product Rule: am × an = am + n , where ‘a’ is a real no. and m, n are positive integers.)


⇒ (4p)3 × (2p)2 × p4 = 256 p9


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Questions · 239
1. Real Number System
1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 1 1 1 1 2 2 2 2 3 3 3 3 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 1 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 1 1 1 1 1 1 1 2 3
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