Question

find the value of x/y if (2/7)^-6 × (14/9)^-6 = (x/y)^-6​

Answer 1

Step-by-step explanation:

$( \frac{2}{7} ) ^{ - 6} \times ( \frac{14}{9} ) ^{ - 6} = ( \frac{x}{y} ) ^{ - 6} \\ ( \frac{2}{7} \times \frac{14}{9} ) ^{ - 6} = (\frac{x}{y} ) ^{ - 6} \\ ( \frac{4}{9} ) ^{ - 6} = ( \frac{x}{y} ) ^{ - 6} \\ = > \frac{x}{y} = \frac{4}{9}$

USE THE PROERTY THAT WHEN POWERS ARE SAME , THEN BASE CAN BE TAKEN TOGETHER.