Question

How do you simplify `(2x^3z^2)^3/(x^3y^4z^2*x^-4z^3)` and write it using only positive exponents?

Answer 1

`color(brown)(=> (8 x^10 z) / y^4`

Explanation:

`(2x^3z^2)^3 / (x^3y^4z^2 * x^-4z^3)`

using Laws of Indices,

`=> (2^3 x^(3 * 3) z^(2 *3)) / (x^(3-4) y^4 z^(2 + 3))`

`=> (8 x^9 z^6) / (x^-1 y^4 z^5)`

`=> (8 x^(9 + 1) z^(6-5)) / y^4`

`color(brown)(=> (8 x^10 z) / y^4`