The product of real roots of the equation $|\mathrm{x}{|}^{\frac{6}{5}}-26|\mathrm{x}{|}^{\frac{3}{5}}-27=0$ is

|x|^3/5 = y Given equation is y² - 26y - 27 = 0

$\left(y-27\right)\left(y+1\right)=0$

y=27,-1
$\Rightarrow$y = 27$\Rightarrow$|x| = 3⁵$\Rightarrow$ product of real roots of x = (3⁵)(-3⁵)=-3¹⁰