Respuesta :

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]

Step-by-step explanation: