Question

Necesito de su ayuda en la resolución de un ejercicio de álgebra.

Answer 1

Explicación paso a paso:

Resolvemos.

$M = \left[\dfrac{8^{\sqrt{8}} * 2^{\sqrt{2}}*2^{\sqrt{32}}}{4^{\sqrt{18}} * 2^{\sqrt{50}}}\right] \\ \\ \\ M = \left[\dfrac{(2^{3})^{2\sqrt{2}}*2^{\sqrt{2}}*2^{4\sqrt{2} }   }{(2^{2})^{3\sqrt{2}}*2^{5\sqrt{2}}}\right] \\ \\ \\ M = \left[\dfrac{2^{6\sqrt{2}}*2^{\sqrt{2}}*2^{4\sqrt{2}}}{2^{6\sqrt{2}}*2^{5\sqrt{2}}}\right] \\ \\ \\   M = \left[\dfrac{2^{5\sqrt{2}}}{2^{5\sqrt{2}}}\right] \\ \\ \\ \boxed{M = 1}$