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Multiplying Monomials: A Simplification Guide

Learn the rules for multiplying monomials with ease. Understand the formulas and use them in examples to reinforce your knowledge. Practice problems provided.

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Multiplying Monomials: A Simplification Guide

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  1. Multiplying Monomials S. Calahan

  2. Simplify Remember the rules for multiplying monomials am • an = am+n (am)n = am•n

  3. Example a2(a3)(a6) a2+3+6 a11

  4. example (102)3 102•3 106

  5. example (cd2)(c3d2) C1+3 d2+2 c4d4

  6. example (-3l)3 -33l3 -27l3

  7. example [(42)2]2 [42•2]2 44•2 48

  8. Example (4g3h)(-2g)5 (4g3h)(-25g5) 4•(-32)g8h -128g8h

  9. Now you try • (3pq2)2 • (y2z)(yz2) • -4(cs2t)2

  10. Answers 1. 32p2q4 2. y1+2z1+2 =y3z3 3.-4c2s2•2t2 =-4c2s4t2

  11. Remember your rules am•an =am+n (am)n =am•n

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