How do you simplify $(p^4 q^1.5)/(p^3 q-1/4)$ ?

Question

1875 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-31T10:30:17

See answer and processes below;

$(p^4 q^1.5)/(p^3 q^(-1/4))$

Please note that $q^1.5 = q^(cancel15/cancel10) = q^(5^3/5^2) = q^(3/2)$

Hence we have;

$(p^4 q^(3/2))/(p^3 q^(-1/4))$

Using indices to deduce..

$(p^4 q^(3/2)) div (p^3 q^(-1/4))$

Recall, $a^x div a^y = a^(x - y)$

$p^(4 - 3) xx q^(3/2 + 1/4), ( - xx - = +)$

$p^1 xx q^((6 + 1)/4)$

$p^1 xx q^(7/4)$

$p q^(7/4)$

How do you simplify (p^4 q^1.5)/(p^3 q-1/4)(p^4 q^1.5)/(p^3 q-1/4)?