Simplify (3x^4)/(7x)*(8x^2)/9

$\frac{3 x^{4}}{7 x} \cdot \frac{8 x^{2}}{9}$

Combine.

$\frac{3 x^{4} (8 x^{2})}{7 x \cdot 9}$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{3 (x^{2} x^{4}) \cdot 8}{7 x \cdot 9}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3 x^{2 + 4} \cdot 8}{7 x \cdot 9}$

Add $2$ and $4$ .

$\frac{3 x^{6} \cdot 8}{7 x \cdot 9}$

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3 x^{6} \cdot 8$ .

$\frac{3 (x^{6} \cdot 8)}{7 x \cdot 9}$

Cancel the common factors.

Factor $3$ out of $7 x \cdot 9$ .

$\frac{3 (x^{6} \cdot 8)}{3 (7 x \cdot 3)}$

Cancel the common factor.

$\frac{3 (x^{6} \cdot 8)}{3 (7 x \cdot 3)}$

Rewrite the expression.

$\frac{x^{6} \cdot 8}{7 x \cdot 3}$

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

Factor $x$ out of $x^{6} \cdot 8$ .

$\frac{x (x^{5} \cdot 8)}{7 x \cdot 3}$

Cancel the common factors.

Factor $x$ out of $7 x \cdot 3$ .

$\frac{x (x^{5} \cdot 8)}{x (7 \cdot 3)}$

Cancel the common factor.

$\frac{x (x^{5} \cdot 8)}{x (7 \cdot 3)}$

Rewrite the expression.

$\frac{x^{5} \cdot 8}{7 \cdot 3}$

Simplify the expression.

Multiply $7$ by $3$ .

$\frac{x^{5} \cdot 8}{21}$

Move $8$ to the left of $x^{5}$ .

$\frac{8 x^{5}}{21}$