NCERT Class 9 Mathematic Chapter 1 Number Systems
Page No. 26
Exercise 1.6
Question 3
Simplify: (i) 2^(2/3). 2^(1/5) (ii) (1/3^3)^7 (iii) (11^1/2)/(11^1/4) (iv) 7^(1/2) . 8^(1/2)
Share
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
(i) 2^(2/3).2^(1/5) = 2^((2/3)+(1/5)) = 2^((10+3)/15) = 2^(13/15)
(ii) (1/3^3)^7 = (3^-3)^7 = 3^-21
(iii) (11^1/2)/(11^1/4) = 11^1/2 × 11^-1/4 = 11^((1/2)-(1/4)) = 11^(2-1 / 4) = 11^1/4
(iv) 7^1/2 . 8^1/2 = (7 × 8)^1/2 = 56^1/2