Question

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

Answer 1

`\frac{1}{ {x}^(10) }`

Step-by-step explanation

The given exponentiial expression is

`{x}^( - 8) \bullet {x}^( - 2)`

We simplify using the rule:

`{a}^(m) * {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) }`