Question

simplify (2/3)^-6×(3/2)^-4​

Answer 1

$(2/3)^-6×(3/2)^-4$

Answer 2

$\sf \Large Solution!!$

$\sf \left(\dfrac{2}{3}\right)^{-6}\times \left(\dfrac{3}{2}\right)^{-4}$

$\sf \dfrac{3}{2}^{6}\times \dfrac{3}{2}^{-4}$

Applying the product rule.

$\sf \to \dfrac{3}{2}^{6+(-4)}$

$\sf \to \dfrac{3}{2}^{6-4}$

$\sf \to \dfrac{3}{2}^{2}$

$\sf \to \dfrac{9}{4}$