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03-01-2021
Mathematics

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(ar^(b))^(4)=81r^(24 ) work out a and b

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03-01-2021

Answer: a = 3; b = 6

[tex](ar^{b})^{4}=81r^{24}\\\\<=>a^{4}.r^{4b}=3^{4}.r^{24}\\\\\\=>\left \{ {{a=3} \atop {4b=24}} \right.\\\\\\<=>\left \{ {{a=3} \atop {b=6}} \right.[/tex]

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