How do you simplify $(5 times q ^3) /sqrtq^11$ ?

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Answer 1 · 2016-02-15T20:01:46

$(5sqrt(q))/q^3" but "5q^(-5/2)" is better!"$

Assumption: You meant the question to look like

$(5xxq^3)/sqrt(q^11color(white)(.))$

Write as $" "5xx(q^3)/(q^(11/2))$

$=> 5xx q^(6/2-11/2)" "=" "5q^(-5/2)$

$=> 5/(sqrt(q^5))$

$=>5/(sqrt(q^2xxq^2xxqcolor(white)(.))$

$=> 5/(q^2sqrt(q))$

Not good practice to have a root as a denominator
So multiply by but in the form of $sqrt(q)/sqrt(q)$

Giving

$(5sqrt(q))/q^3" or just use the earlier value of " 5q^(-5/2)$

How do you simplify (5 times q ^3) /sqrtq^11(5 times q ^3) /sqrtq^11?