Question

"Question 1 Find:
(i) 64^(1/2)
(ii) 32^(1/5)
(iii) 125^(1/3)

Class 9 - Math - Number Systems Page 26"

Answer 1

Here we use law of exponents for real numbers.

 

Let a be a real number and p, q  be rational numbers, then

 

(a^p )^q = a^pq

 

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Solution:

 

i) (64)½

 

(8²)½= 8²×½ = 8

 

ii) (32)¹/5

(2^5 )¹/5 = 2

 

iii) (125) ⅓

 

(5³)⅓= 5³× ⅓ = 5

 

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Hope this will help you...

Answer 2

Hi there !

i) (64)½

 Ans:- (8²)½ 

          =  8²×½ = 8

 

ii) (32)¹/5

Ans:- (2⁵ )¹/₅

        = 2⁵× ¹/₅ = 2

 

iii) (125)⅓

 Ans :- (5³)⅓ 

           = 5³× ⅓ = 5