Question

if p/q= 4/9 raised to the power -3 ÷ 4/9 raised to the power -2 find p/q raised to the power -1 + q/p raised to the power -1 ​

Answer 1

Answer:

$p/q=(4/9)^(-3) (4/9)^(-2)$

$p / q = (9/4) ^ 3 / ((9/4) ^ 2)$

$p / q = (9/4)$

$(p / q)^(- 1) = 4/9$

$(q/p)^(-1)=9/4$

$according \: to \: question$

$(p/q)^(-1)=(q/p)^(-1) \\ =16/3 \\\\ = 4/9$