# How do you simplify root3(k^-4) * root3( k^4)?

Sep 30, 2015

Have a look:

#### Explanation:

For multiplication between roots (of the same type) you can use one root only as:
$\sqrt[3]{{k}^{-} 4 \cdot {k}^{4}} =$
also ${k}^{-} 4 = \frac{1}{k} ^ 4$ so you get:
$= \sqrt[3]{{k}^{4} / {k}^{4}} = \sqrt[3]{1} = 1$