Question

If 4^k.3^k=1/144,find k​

Answer 1

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Answer 2

4^k * 3^k = (4*3)^2k........ (bcz powers r same)

now (12)^2k = (1^2 /12^2)

( bcz. 144=12^2)

12^2k =(1/12)^2

we can also write (1/12)^2 as 12^-2 .......

Now as the bases r same... so powers will also be same..

now in 12^2k = 12 ^-2

2k = -2

k=-2/2

k= -1

I hope u understood it... ❤✌✌