Simplify (4p^3)/(6p)*(7p^4)/9

$\frac{4 p^{3}}{6 p} \cdot \frac{7 p^{4}}{9}$

Combine.

$\frac{4 p^{3} (7 p^{4})}{6 p \cdot 9}$

Multiply $p^{3}$ by $p^{4}$ by adding the exponents.

Move $p^{4}$ .

$\frac{4 (p^{4} p^{3}) \cdot 7}{6 p \cdot 9}$

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

$\frac{4 p^{4 + 3} \cdot 7}{6 p \cdot 9}$

Add $4$ and $3$ .

$\frac{4 p^{7} \cdot 7}{6 p \cdot 9}$

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4 p^{7} \cdot 7$ .

$\frac{2 (2 p^{7} \cdot 7)}{6 p \cdot 9}$

Cancel the common factors.

Factor $2$ out of $6 p \cdot 9$ .

$\frac{2 (2 p^{7} \cdot 7)}{2 (3 p \cdot 9)}$

Cancel the common factor.

$\frac{2 (2 p^{7} \cdot 7)}{2 (3 p \cdot 9)}$

Rewrite the expression.

$\frac{2 p^{7} \cdot 7}{3 p \cdot 9}$

Cancel the common factor of $p^{7}$ and $p$ .

Factor $p$ out of $2 p^{7} \cdot 7$ .

$\frac{p (2 p^{6} \cdot 7)}{3 p \cdot 9}$

Cancel the common factors.

Factor $p$ out of $3 p \cdot 9$ .

$\frac{p (2 p^{6} \cdot 7)}{p (3 \cdot 9)}$

Cancel the common factor.

$\frac{p (2 p^{6} \cdot 7)}{p (3 \cdot 9)}$

Rewrite the expression.

$\frac{2 p^{6} \cdot 7}{3 \cdot 9}$

Multiply.

Multiply $7$ by $2$ .

$\frac{14 p^{6}}{3 \cdot 9}$

Multiply $3$ by $9$ .

$\frac{14 p^{6}}{27}$