ABC26GN1867 · Surds and Indices

Subject: General Aptitude · Chapter: Surds and Indices · Exam: · Marks: · Difficulty:

Simplify : (i) (27) 3 (ii) (1024) 5 (iii)  .  125  2 2  2  3 × 
Answer
Answer (as printed):
Explanation
(i) (27) 3 = (33 ) 3 = 3 3 = 32 = 9. 4 4  ( − 4)  − − 5 ×  1 1 (ii) (1024) 5 5 = (4 ) 5 = 4  5  = 4− 4 = 4 = . 4 256 4 ( − 4)  4  −  2   3 − 3 3 ×  −4 4 8   2   2  5 54 625 (iii)  3 3  =    =   =   =   = = .  125   5    5  5  2 2 4 16

Explanation as extracted from the printed page; notation may be imperfect.

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