Question

Multiply or divide as indicated. x^-8 • x^-2

Answer 1

ANSWER

$\frac{1}{ {x}^{10} }$

EXPLANATION

The given exponentiial expression is

${x}^{ - 8} \bullet {x}^{ - 2}$

We simplify using the rule:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property to get:

${x}^{ - 8} \bullet {x}^{ - 2} = {x}^{ - 8 + - 2}$

We simplify to get;

${x}^{ - 8} \bullet {x}^{ - 2} = {x}^{ - 10}$

We rewrite as a positive index to get;

${x}^{ - 8} \bullet {x}^{ - 2} = \frac{1}{ {x}^{10} }$