Sunday 23 June 2019

Shortcut Method to find out cubes of (99, 999 and 9999 etc.)


Shortcut Method to find out cubes of 
(99, 999 and 9999 etc.)

We know that (9)3 = 729 Now we can check how to find out the cube of 99.
To find out (99)3 take 729 as base and Insert a nine before 7 a zero before 2 and again a nine before 9 at last
i.e. 993 = 970299

To find out (999)3 insert two nines before 7, two zeros before 2 and two nines before 9 at last
i.e. 9993 = 997002999

To find out (9999)3 insert three nine before 7, three zeros before 2 and three nines before 9 at last 
i.e. (9999)3 = 999700029999 
∴ (99999)3 = 999970000299999

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