Home
Class 7
MATHS
If 2^2y=(1)/(4) and 3^(4x)=(1)/(81), the...

If `2^2y=(1)/(4) and 3^(4x)=(1)/(81)`, then `x+y=`_____

A

0

B

-2

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
`2^(2y)=(1)/(4)rArr 2^(2y)=2^(-2)`
`rArr 2y=-2rArr y=-1`
`3^(4x)=(1)/(81)rArr 3^(4x)=3^(-4)`
`rArr 4x=-4rArr =-1`
`therefore x+y=-2`
Hence , the correct option is (b).
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -2|1 Videos

  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Test-2|12 Videos

  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TESTS (Test - 1) |23 Videos

Similar Questions

Explore conceptually related problems

If x^((1)/(4)) + x^((-1)/(4))=2 , then what is the value of x^(81) + ((1)/(x^(81))) ?

If y=(x-3)/(x-4)," then "(y-1)y_(2)=

If 3^(4x)=(81)^(-1) and 10^((1)/(y))=0.0001, find the value of 2^(-x+4y) and 10^((1)/(y))=0.0001, find the

If x = (2)/(3) and y = (3)/(4), then a rational number (x – y) ^(-1) + (x ^(-1) – y ^(-1)) is equal to

If x = (2)/(3) and y = (3)/(4) , then a rational number (x-y)^(-1)+(x^(-1)- y^(-1)) is equal to