Here2Help21 Here2Help21
  • 23-08-2021
  • Mathematics
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PLEASE HELP Which values of a and b that make the following equation correct?

[tex](2^{a} *3^{2b})^{5} =6^{20}[/tex]

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Аноним Аноним
  • 23-08-2021

[tex]\\ \sf\longmapsto (2^a\times 3^{2b})^5=6^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=(2\times 3)^{20}[/tex]

[tex]\\ \sf\longmapsto 2^{5a}\times 3^{10b}=2^{20}\times 3^{20}[/tex]

On comparing

[tex]\\ \sf\longmapsto 5a=20[/tex]

[tex]\\ \sf\longmapsto a=\dfrac{20}{5}=4[/tex]

And

[tex]\\ \sf\longmapsto 10b=20[/tex]

[tex]\\ \sf\longmapsto b=\dfrac{20}{10}=2[/tex]

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