Question

Simplify :$(\frac{-2}{3}{)}^8\times (\frac{-2}{3}{)}^5\times 729$ [2 MARKS]

Answer 1

$(\frac{-2}{3}{)}^8\times (\frac{-2}{3}{)}^5\times 729$

$=(\frac{-2}{3}{)}^{(8+5)}\times 3^6(0.5Marks)$

$=(\frac{-2}{3}{)}^{\left(13\right)}\times 3^6(0.5Marks)$

$=-\left(\frac{2^{13}}{3^7}\right)\left(1Mark\right)$