Question

Find the product or quotient using only positive exponents

Answer 1

`(3x^6)/(6x^(-1))= (1)/(2)x^7`

Explanation:

Given

`(3x^6)/(6x^(-1))`

Required

Solve

In laws of indices, we have:

`(x^m)/(x^n) = x^(m-n)`

So, the expression becomes:

`(3x^(6 - (-1)))/(6)`

`(3x^(6 +1))/(6)`

`(3x^7)/(6)`

Divide 3 and 6 by 3

`(1x^7)/(2)`

`(x^7)/(2)`

This can be rewritten as:

`(1)/(2)x^7`

Hence:

`(3x^6)/(6x^(-1))= (1)/(2)x^7`