How do you simplify (n^4q^4w^6)/(q^2n^3w)?

1 Answer
May 1, 2017

You may rewrite: $= {n}^{4} / {n}^{3} \times {q}^{4} / {q}^{2} \times {w}^{6} / w$

Explanation:

You may write out the powers and cancel. You may also realize that

${x}^{a} / {x}^{b} = {x}^{a - b}$

$= {n}^{4 - 3} \times {q}^{4 - 2} \times {w}^{6 - 1} = {n}^{1} \times {q}^{2} \times {w}^{5} = n {q}^{2} {w}^{5}$