Question

Rewrite 3^15x3^-3/3^-5x3^7 as a single term of the form 3", where n is an integer.

Answer 1

`3^(15)*3^(-3)\text{ divide by}3^(-5)*3^7`

Using the law of indices

`(3^(15-3))/(3^(-5+7))`

This can further be simplify into;

`(3^(12))/(3^2)`
`=3^(12-2)`
`=3^(10)`