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Question: Find the cube root of 125.


A ) 25
B ) 50
C ) 5
D ) 10

Steps to derive

1 Cube root of 125 = 1253

2 1253 = (125)13
 [an = (a)1n]

3 = (53)13
 [125 can be written as 5 × 5 × 5 = 53]

4 = (5)3 ×13
 [(an)m = amn]

5 = 5

6 So, cube root of 125 is 5.



Hence the right answer is Option C

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