Question

Simplify and express each as a rational number​

Answer 1

➲ Sɪᴍᴘʟɪғʏ :-

$\implies \: { (\frac{4}{9}) }^{6} \times { (\frac{4}{9}) }^{ - 4} \\ \\ \implies \: { \frac{4}{9} }^{[6 + (- 4)]} \\ \\ \implies \: { (\frac{4}{9}) }^{2} \\ \\ \implies \: \frac{ {4}^{2} }{ {9}^{2} } = \frac{16}{81}$

Answer 2

Step-by-step explanation:

(4/9)6×(4/9)-4

so, this time to changes

(4/9)-4 is change into (9/4)4 ok

then (4/9)6 =4×4×4×4×4×4/9×9×9×9×9×9 ok

= 4096/531441 ok then

calculate (9/4) = 9×9×9×9/4×4×4×4. ok

= 256 /6561 , ok

then solve , 4096/ 531441 × 6561 /256

= 4096 ÷256. × 53 1441÷ 6561

= 16 ×81

= 1296 ans