Question

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

Answer 1

`2/x^8`

Explanation:

Using: `(x^m)^n = x^(mn)` and `x^m xx x^n = x^(m+n)`

`(x^4)^(-3) * 2x^4 = x^(-12) * 2x^4`

`= 2xxx^(-12+4) = 2x^-8`

To use only positive exponents `= 2/x^8`