Question

Please solve this problem as soon as possible.​

Answer 1

Step-by-step explanation:

$\bf a = 2^{10}\cdot 3^{6} :6^{8}$

$\bf a = 2^{10}\cdot 3^{6} :\big(2^{8}\cdot 3^{8}\big)$

$\bf a = 2^{10-8}\cdot 3^{6-8}$

$\bf a = 2^{2}\cdot 3^{-2}$

$\bf a = 2^{2}\cdot \dfrac{1}{3^{2}}$

$\bf a = \dfrac{2^{2}}{3^{2}}$

$\red{\boxed{\bf a = \bigg(\dfrac{2}{3}\bigg)^{2}\implies patrat ~perfect}}$