Question

Simplify q^5 q^3 uq Write your answer with only positive exponents

Answer 1

To answer this question we will use the following properties:

`\begin{gathered} a^m\cdot a^n=a^(m+n), \\ ab=ba\text{.} \end{gathered}`

Using the second property we get:

`q^5q^3uq=q^5q^3qu\text{.}`

Finally, using the first property we get:

`\begin{gathered} q^5q^3uq=q^(5+3)qu=q^8qu \\ =q^(8+1)u=q^9u\text{.} \end{gathered}`

Answer:

`q^9u\text{.}`