Question

Freshman Algebra, I need to simplify it


`( - 1)/(4) (v {q}^(4) )( - 8 {v}^(3) q {)}^(2)`
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Answer 1

`\bf -\cfrac{1}{4}(vq^4)(-8v^3q)^2\implies -\cfrac{1}{4}(vq^4)\stackrel{\textit{distributing the exponent}}{[(-8)^2v^(2\cdot 3)q^2]}\implies -\cfrac{1}{4}(vq^4)(64v^6q^2) \\\\\\ -\cfrac{1}{4}(vq^4 64v^6q^2)\implies -\cfrac{64}{4}(v v^6 q^4q^2)\implies -16v^(1+6)q^(4+2)\implies -16v^7q^6`