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

Aug 30, 2016

$\frac{2}{x} ^ 8$

#### Explanation:

Using: ${\left({x}^{m}\right)}^{n} = {x}^{m n}$ and ${x}^{m} \times {x}^{n} = {x}^{m + n}$

${\left({x}^{4}\right)}^{- 3} \cdot 2 {x}^{4} = {x}^{- 12} \cdot 2 {x}^{4}$

$= 2 \times {x}^{- 12 + 4} = 2 {x}^{-} 8$

To use only positive exponents $= \frac{2}{x} ^ 8$