Question

How do you simpify `\frac{11^{-1}}{3}`?

Answer 1

See a solution process below:

Explanation:

Use this rule of exponents to rewrite the expression:

`x^color(red)(a) = 1/x^color(red)(-a)`

`11^color(red)(-1)/3 => 1/(11^color(red)(- -1) * 3) => 1/(11^color(red)(1) * 3)`

We can use this rule to rewrite the 11 term and to complete the simplification:

`a^color(red)(1) = a`

`1/(11^color(red)(1) * 3) => 1/(11 * 3) => 1/33`