Question

How do you multiply `(3^ { \frac { 1} { 6} } ) ( 3^ { \frac { 5} { 6} } )`?

Answer 1

See the entire solution process below:

Explanation:

Use these rules of exponents to multiply this expression:

`x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))` and `a^color(red)(1) = a`

`(3^color(red)(1/6))(3^color(blue)(5/6)) = 3^(color(red)(1/6) + color(blue)(5/6)) = 3^((1 + 5)/6) = 3^(6/6) = 3^color(red)(1) = 3`