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:

$q^9u\text{.}$