Chapter 1

NCERT
Class 9
Mathematics
Solutions
2. Find : (i) 9^3/2

Question:

Find : (i) 93/2 (ii) 322/5 (iii) 163/4 (iv) 125-1/3

Answer:

(i) (9)3/2 = (3 × 3)3/2

= (32)3/2 = (3)3 = 27

(ii) (32)2/5 = (2×2×2×2×2)2/5

= (25)2/5 = (2)2 = 4

(iii) (16)3/4 = (2×2×2×2)3/4

= (24 )3/4 = (2)3 = 8

(iv) (125)-1/3 = (5× 5×5)1/5

= (53 ) = (5)–1 = 1/5

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