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Multiplying Monomials. S. Calahan. Simplify. Remember the rules for multiplying monomials a m • a n = a m+n (a m ) n = a m•n. Example. a 2 (a 3 )(a 6 ) a 2+3+6 a 11. example. (10 2 ) 3 10 2•3 10 6. example. (cd 2 )(c 3 d 2 ) C 1+3 d 2+2 c 4 d 4. example. (-3l) 3 -3 3 l 3
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Multiplying Monomials S. Calahan
Simplify Remember the rules for multiplying monomials am • an = am+n (am)n = am•n
Example a2(a3)(a6) a2+3+6 a11
example (102)3 102•3 106
example (cd2)(c3d2) C1+3 d2+2 c4d4
example (-3l)3 -33l3 -27l3
example [(42)2]2 [42•2]2 44•2 48
Example (4g3h)(-2g)5 (4g3h)(-25g5) 4•(-32)g8h -128g8h
Now you try • (3pq2)2 • (y2z)(yz2) • -4(cs2t)2
Answers 1. 32p2q4 2. y1+2z1+2 =y3z3 3.-4c2s2•2t2 =-4c2s4t2
Remember your rules am•an =am+n (am)n =am•n