please tell correct answers of these question
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i) (81)½ = (9²)½ = 9²×½ =9¹ = 9
ii) (64)¹/6 = take prime factorisation of 64
= 2×2×2×2×2×2 = 2 power of 6
= 2power of 6 × ¹/6
= 2
iii) (125)⅓ = prime factorisation of 125
= 5×5×5 = 5³
(125)⅓= (5³)⅓ = 5³×⅓ = 5
2
i) 4³/² = (2²)³/² = 2³ = 2×2×2 = 8
ii) 32²/5 = 2^5 ײ/5. = 2² = 2×2 = 4
iii) 16¾. = 2⁴×¾ = 2³ = 8
3.
i) 2⅔ . 2¹/7 = (2)⅔ +¹/7
= (2)^ 14/21 + 3/21
= (2)^ 17/21
ii) (1/3³)^7 = 1^7/3³×7 = 1/3^21
4.
(3/5)* . (5/3)²* = (5/3)³
=(3/5)* . (3/5) -²* = (3/5)-³
= (3/5)* + (-²*) = (3/5)-³
= * + (-2*) = -3
= -* = -3
= * = 3
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