Question

please tell correct answers of these question​

Answer 1

Answer:

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