Question

Plz help! which expressions are equivalent to 1.06^3t

Answer 1

$\bf (1.06^t)^3\implies 1.06^{t\cdot 3}\implies \boxed{1.06^{3t}}\\\\ -------------------------------\\\\ \cfrac{1.06^{5t}}{1.06^{2t}}\implies \cfrac{1.06^{5t}}{1}\cdot \cfrac{1}{1.06^{2t}}\implies 1.06^{5t}\cdot 1.06^{-2t}\implies 1.06^{5t-2t} \\\\\\ \boxed{1.06^{3t}}\\\\ -------------------------------$

$\bf 1.06^3\cdot 1.06^t\implies 1.06^{3+t}\\\\ -------------------------------\\\\ \cfrac{1.06^{9t}}{1.06^{3t}}\implies \cfrac{1.06^{9t}}{1}\cdot \cfrac{1}{1.06^{3t}}\implies 1.06^{9t}\cdot 1.06^{-3t}\implies 1.06^{6t}$