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)`