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Verified answer
1) p = 27 , q = 16 , r = 9( p^⅔ q^½ r-¹ / p-⅓ q^¼ r^-½)²
= ( 27^⅔ 16^½ 9-¹ / 27^-⅓ 16^¼ 9^-½ )²
= ( (3³)^⅔ (2⁴)^½ (3²)-¹ / (3³)^-⅓ (2⁴)^¼ (3²)-½ )²
= ( 3² 2² 3-² / 3-¹ 2¹ 3-¹ )²
= ( 2² / 3-² 2¹ )²
= 2⁴
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3-⁴ 2²
= 2⁴ 3⁴
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2²
= 2² 3⁴ ( C )