Question

Best answer will be marked as brainliest​

Answer 1

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81 = 3⁴

16 = 2⁴

27 = 3³

Now ,

{ 81^-3/4 × 16^¼ × 6² × 27^4/3 } ⅓

{ (3⁴)^-3/4 × (2⁴)^¼ × 2² × 3² × (3³)⁴/3 }⅓

{ (3)^-3 × 2¹ × 2² × 3² × 3⁴ }⅓

{ 3^-3 × 2³ × 3⁶}^⅓

{ 2³ × 3^(6-3) }^⅓

{ 2³ × 3³}⅓

(6³)⅓

= 6

Option (D) is Correct .

Answer 2

Answer:

81 = 3⁴

16 = 2⁴

27 = 3³

Now ,

{ 81^-3/4 × 16^¼ × 6² × 27^4/3 } ⅓

{ (3⁴)^-3/4 × (2⁴)^¼ × 2² × 3² × (3³)⁴/3 }⅓

{ (3)^-3 × 2¹ × 2² × 3² × 3⁴ }⅓

{ 3^-3 × 2³ × 3⁶}^⅓

{ 2³ × 3^(6-3) }^⅓

{ 2³ × 3³}⅓

(6³)⅓

= 6

Option (D) is Correct .