Question

If ( 2/ 3 ) −5 X (2 /3 ) 12 = (2 /3 ) 3n−2​, find n.

Answer 1

$\frac{2}{3} - 5 \times \frac{2}{3} \times 12 = \frac{2}{3} \times 3n - 2$

$\frac{2}{3} - \frac{40}{1} = \frac{2}{3} \times 3n - 2$

$\frac{ - 118}{3} \times \frac{3}{2} = 3n - 2$

$- 59 = 3n - 2$

$3n = - 57$

$n = 19$