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