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If (1331)^(-x)=(225)^(y) where x and y a...

If `(1331)^(-x)=(225)^(y)` where `x` and `y` are integers, then find the value of `3xy`.

A

0

B

1

C

`-3`

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Given,
`(1331)^(-x)=(225)^(y)`
`implies (11^(3))^(-x)=(15^(2))^(y)`
`implies 11^(-3x)=15^(2y)`
The above statement is true only if `x=y=0`.
`:. 3xy=0`
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PEARSON IIT JEE FOUNDATION-INDICES-CONCEPT APPLICATION LEVEL 2
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  14. Find the value of (0.00243)^(3/5)+(0.0256)^(3/4).

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  17. If (sqrt(3))^(x+y)=9 and (sqrt(2))^(x-y)=32, then 2x+y is .

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  18. If 6^(x-y)=36 and 3^(x+y)=729, then find x^(2)-y^(2).

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  19. If p^(q')=512 find the minimum possible value of (p) (q) (r), where p,...

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