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If (2)**4=2 and (4)**4=16, then what is ...

If `(2)**4=2` and `(4)**4=16`, then what is the value of A in `(6)**A=18?`

A

12

B

14

C

16

D

20

Text Solution

Verified by Experts

The correct Answer is:
A

`(2)^(#)**4=2`
`rArr (2)^(3)-:4=2`
`(4)^(#)**4=12`
`rArr (4)^(3)-:4=16`
`rArr 64-:4=16`
`rArr 6^(#)**A=18`
`rArr (6)^(3)-:a=18`
`rArr (216)/A)=18`
`:. A=(216)/(18)=12`
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