Question

Simplify: (√4)^-7 . (√2)^-5.

Answer 1

its answer will be 1/512√2

Answer 2

$(\sqrt{3})^{-7} \times (\sqrt{2})^{-5}$

$= \dfrac{1}{(\sqrt{3})^{7} } \times \dfrac{1}{ (\sqrt{2})^{5}}$

$= \dfrac{1}{(\sqrt{3})^{7}(\sqrt{2})^{5}}$

$= \dfrac{1}{(27\sqrt{3})(4\sqrt{2}) }$

$= \dfrac{1}{108\sqrt{6}}$

$= \dfrac{1}{108\sqrt{6}} \times \dfrac{\sqrt{6} }{\sqrt{6} }$

$= \dfrac{\sqrt{6} }{648}$