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(25^2-15^2)^((3)/(2))=...

`(25^2-15^2)^((3)/(2))=` _____

A

4000

B

8000

C

3125

D

1024

Text Solution

Verified by Experts

The correct Answer is:
B
Given
`(25^2-15^2)^(3//2)`
`=[(25+15)(25-15)]^(3//2)`
`=[40xx10]^(3//2)=[2^2xx10^2]^(3//2)=(20)^3=8000`
Hence, the correct options is (b).
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