Question

Simplify each express so there is only one positive power for each base.

Answer 1

$\boxed{\text{Recall: } a^{b} \cdot a^{c} = a^{b + c}}$
$\text{Thus, } 2.7^{-3} \cdot 2.7^{4} = 2.7^{-3 + 4} = 2.7$
$3.8^{3} \cdot 3.8^{2} = 3.8^{5}$

$\therefore 2.7^{-3} \cdot 3.8^{2} \cdot 2.7^{4} \cdot 3.8^{3} = 2.7 \cdot 3.8^{5}$