Объяснение:

[tex]\displaystyle\\\frac{4^6*2^9}{324} =\frac{((2)^2)^6*2^9}{18^2} =\frac{2^{2*6}*2^9}{(2*9)^2} =\frac{2^{12}*2^9}{2^2*9^2}=\frac{2^{12+9}}{2^2*81}=\frac{2^{21-2}}{81}=\frac{2^{19}}{81} .\\\\\\x^4-625=0\\\\(x^2)^2-((5)^2)^2=0\\\\(x^2-5^2)*(x^2+5^2)=0\\\\(x+5)*(x-5)*(x^2+25)=0\\\\x_1=-5\ \ \ \ x_2=5.[/tex]