Math, asked by niharikashrma1976, 6 hours ago

evaluate (27)^-1/3 . (27)^-1/3 [27^1/3 - 27^2/3]

Answers

Answered by DEBOBROTABHATTACHARY

1

(27)^-1/3 . (27)^-1/3 [27^1/3 - 27^2/3]

= (3^3)^-1/3 . (3^3)^-1/3 [(3^3)^1/3 - (3^3)^2/3]

= (3)^-3/3 . (3)^-3/3 [(3)^3/3 - (3)^3×2/3]

= (3)^-1 . (3)^-1 [(3)^1 - (3)^-2]

= 1/3. 1/3 [3 - 1/9]

= 1/9 [26/9]

= 26/81 (ans.)

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