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Aptitude - Surds and Indices - Discussion

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"The secret to creativity is knowing how to hide your sources."

- Albert Einstein

4.

If 5^a = 3125, then the value of 5^{(a - 3)} is:

[A].	25	[B].	125
[C].	625	[D].	1625

Answer: Option B

Explanation:

5^a = 3125 5^a = 5⁵

a = 5.

5^{(a - 3)} = 5^{(5 - 3)} = 5² = 25.

Girish said: (Sat, Jun 18, 2011 04:28:22 AM)

Also 5a-3 = 5a/53 = 3125/125 = 25

Girish said: (Sat, Jun 18, 2011 05:04:15 AM)

Above can be read as 5^a-3 = 5^a/5^3 = 3125/125 = 25

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