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)`