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In Math / Junior High School | 2024-09-04

15ab5 x 5a3b ÷ 3a2b4​

Asked by tunesicio

Answer (1)

The simplified answer of  [tex]15ab^{5}[/tex] × [tex]5a^{3} b[/tex] ÷ [tex]3a^{2} b^{4}[/tex] is  [tex]25a^{2} b^{2}[/tex].Let's follow the PEMDAS method to answer this correctly.Perform multiplication on [tex]15ab^{5}[/tex] × [tex]5a^{3} b[/tex](15 × 5) × ([tex]a[/tex] × [tex]a^{3}[/tex]) × ([tex]b^{5}[/tex] × [tex]b[/tex])[tex]75a^{1+3} b^{5+1}[/tex][tex]75a^{4} b^{6}[/tex]Proceed with division.[tex]75a^{4} b^{6}[/tex] ÷ [tex]3a^{2} b^{4}[/tex][tex]\frac{75a^{4} b^{6}}{3a^{2} b^{4}}[/tex] = [tex]\frac{75}{3}[/tex] × [tex]\frac{a^{4} }{a^{2} }[/tex] × [tex]\frac{b^{6} }{b^{4} }[/tex][tex]25a^{4-2} b^{6-4}[/tex][tex]25a^{2} b^{2}[/tex]

Answered by fieryopal | 2024-10-18