Respuesta :

Answer:

1) 32[tex]m^{6}[/tex][tex]n^{14}[/tex]

2) 3[tex]j^{4}[/tex][tex]k^{8}[/tex]

3) 135[tex]a^{11}[/tex][tex]b^{16}[/tex]

Step-by-step explanation:

to know: when multiplying terms with same base and exponents, multiply the bases and add the exponents

to know: when dividing terms with same base and exponents, divide the bases and subtract the exponents

to know: whenever exponents are contained within a set of parentheses and separated by another set of parentheses, multiply the exponents

1) ([tex]4^{4}[/tex]· [tex]m^{12}[/tex] · [tex]n^{20}[/tex]) ÷ 2³[tex]m^{6}[/tex][tex]n^{6}[/tex] = 3[tex]j^{4}[/tex][tex]k^{8}[/tex]

2) (15[tex]j^{5}[/tex][tex]k^{2}[/tex]· 25j²[tex]k^{9}[/tex]) ÷ 5³j³k³ = (375[tex]j^{7}[/tex][tex]k^{11}[/tex]) ÷ 125j³k³ = 3[tex]j^{4}[/tex][tex]k^{8}[/tex]

3) (5 · 3³) [tex]a^{11}[/tex][tex]b^{16}[/tex] = 135[tex]a^{11}[/tex][tex]b^{16}[/tex]

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