Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}}, n>m\\\\a^{0}=1\\a^{m}*a^{n}=a^{m+n}[/tex]
[tex]\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7^{3}}[/tex] ÷ [tex]\frac{9x}{14x^{2}y}\\[/tex]
[tex]=\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7z^{3}}*\frac{14x^{2}y}{9x}\\\\\=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{(1+3-2)}}\\\\=\frac{16x^{5}y}{27z^{2}}[/tex]
[tex]=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{1+3-2}}\\\\=\frac{16x^{5}y}{27z^{2}}[/tex]
