Simplify (9x^24)/(6(x^3)^2x^2)

$\frac{9 x^{24}}{6 {(x^{3})}^{2} x^{2}}$

Cancel the common factor of $9$ and $6$ .

Factor $3$ out of $9 x^{24}$ .

$\frac{3 (3 x^{24})}{6 {(x^{3})}^{2} x^{2}}$

Cancel the common factors.

Factor $3$ out of $6 {(x^{3})}^{2} x^{2}$ .

$\frac{3 (3 x^{24})}{3 (2 {(x^{3})}^{2} x^{2})}$

Cancel the common factor.

$\frac{3 (3 x^{24})}{3 (2 {(x^{3})}^{2} x^{2})}$

Rewrite the expression.

$\frac{3 x^{24}}{2 {(x^{3})}^{2} x^{2}}$

Cancel the common factor of $x^{24}$ and $x^{2}$ .

Factor $x^{2}$ out of $3 x^{24}$ .

$\frac{x^{2} (3 x^{22})}{2 {(x^{3})}^{2} x^{2}}$

Cancel the common factors.

Factor $x^{2}$ out of $2 {(x^{3})}^{2} x^{2}$ .

$\frac{x^{2} (3 x^{22})}{x^{2} (2 {(x^{3})}^{2})}$

Cancel the common factor.

$\frac{x^{2} (3 x^{22})}{x^{2} (2 {(x^{3})}^{2})}$

Rewrite the expression.

$\frac{3 x^{22}}{2 {(x^{3})}^{2}}$

Multiply the exponents in ${(x^{3})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{3 x^{22}}{2 x^{3 \cdot 2}}$

Multiply $3$ by $2$ .

$\frac{3 x^{22}}{2 x^{6}}$

Cancel the common factor of $x^{22}$ and $x^{6}$ .

Factor $x^{6}$ out of $3 x^{22}$ .

$\frac{x^{6} (3 x^{16})}{2 x^{6}}$

Cancel the common factors.

Factor $x^{6}$ out of $2 x^{6}$ .

$\frac{x^{6} (3 x^{16})}{x^{6} \cdot 2}$

Cancel the common factor.

$\frac{x^{6} (3 x^{16})}{x^{6} \cdot 2}$

Rewrite the expression.

$\frac{3 x^{16}}{2}$