Question

if p/q = (-1/3)^-3 ÷(2/3)^-4 find the value of : (p/q +q/p)^-1​

Answer 1

⭐GIVEN:

p/q=(-1/3) ^-3÷(2/3) ^-4

⭐TO FIND:

(p/q+q/p) ^-1=?

⭐Solution:

p/q=(-1/3) ^-3÷(2/3) ^-4

: . p/q=1/(-1/3) ^-3÷1/(2/3) ^4

: . p/q=(-3) ³÷(3/2) ^4

: . p/q=-27÷81/16

: . p/q= -27×16/81

: . p/q= -16/3

Now let's we find,

(p/q+q/p) ^-1

→ (-16/3+-3/16) ^-1

→ (-16/3-3/16)^-1

→ (-256-9/48)^-1

→ (-265/48) ^-1

→1/(-265/48)^1

→ -48/265