Question

if
${4}^{k} \times {3}^{k} = \frac{1}{144}$
Find k

Answer 1

4^k × 3^k = 1 / 144

= 12 ^ k = 1 / 12 × 12

= 12 ^ k = 1 / 12 ^2

12 ^ k = 12 ^ -2

K = -2 Ans.

Answer 2

$= > {4}^{k} \times {3}^{k} = \frac{1}{144} \\ \\ = > {4}^{k} \times {3}^{k} = {12}^{ - 2} \\ \\ = > {(4 \times 3)}^{k} = {12}^{ - 2} \\ \\ = > {12}^{k} = {12}^{ - 2}$

By comparison we get

=> K = -2
-____-___[ANSWER]