Question

Solve (2/3)⁹ x (4/9)⁻⁶

Answer 1

Answer:

$= ({ \frac{2}{3} })^{9} \times ({ \frac{4}{9} })^{ - 6}$

$= ( { \frac{2}{3} })^{9} \times ({ \frac{2}{3} })^{ - 12}$

$= ( { \frac{2}{3} })^{9 + ( - 12)}$

$=( { \frac{2}{3} })^{9 - 12}$

$= ({ \frac{2}{3} })^{ - 3}$

$= ({ \frac{3}{2} })^{3}$

$= \frac{27}{8}$