Question

Perform the indicated operations

Answer 1

Answer:

Step-by-step explanation:

$\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}}, n>m\\\\a^{0}=1\\a^{m}*a^{n}=a^{m+n}$

$\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7^{3}}$ ÷ $\frac{9x}{14x^{2}y}$

         $=\frac{2x^{2}y}{6y^{3}z}*\frac{8x^{2}y^{2}z^{2}}{7z^{3}}*\frac{14x^{2}y}{9x}\\\\\=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{(1+3-2)}}\\\\=\frac{16x^{5}y}{27z^{2}}$

$=\frac{8*2x^{(2+2+2-1)}*y^{(1+2+1-3)}}{3*9z^{1+3-2}}\\\\=\frac{16x^{5}y}{27z^{2}}$

Answer 2

Answer:

16x^3y÷27z^3

Step-by-step explanation:

(2×8×14×x^2×x^2×x^2×y×y^2×y)÷(6×7×9×y^3×z×z^3×x^3×y)

(16×x^3×y)÷(27×z^2)