Question

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

Answer 1

Answer: a = 3; b = 6

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

Step-by-step explanation: