ANSWER
[tex]\frac{1}{ {x}^{10} }[/tex]
EXPLANATION
The given exponentiial expression is
[tex] {x}^{ - 8} \bullet {x}^{ - 2} [/tex]
We simplify using the rule:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
We apply this property to get:
[tex]{x}^{ - 8} \bullet {x}^{ - 2} = {x}^{ - 8 + - 2}[/tex]
We simplify to get;
[tex]{x}^{ - 8} \bullet {x}^{ - 2} = {x}^{ - 10}[/tex]
We rewrite as a positive index to get;
[tex]{x}^{ - 8} \bullet {x}^{ - 2} = \frac{1}{ {x}^{10} } [/tex]
