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Which is the greatest among (5)^23, (25)...

Which is the greatest among `(5)^23, (25)^(11), (625)^6, and (3125)^5`?

A

`5^23`

B

`(25)^11`

C

`(625)^6`

D

`(3125)^5`

Text Solution

Verified by Experts

The correct Answer is:
D
Given
`(5)^23`
` (25)^12=(5^2)^11=5^22`
`(625)^6=(5^4)^6=5^24`
`(3125)^5=(5^5)^5=5^25`
`therefore (3125)^5` is the greatest.
Hence, the correct opion is (d).
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(3125^(x)xx5^(9))/(625)=(125)^(-1)

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