Simplify 7u^2v^5*9uv^3

$7 u^{2} v^{5} \cdot 9 u v^{3}$

Multiply $u^{2}$ by $u$ by adding the exponents.

Move $u$ .

$7 (u \cdot u^{2}) v^{5} \cdot (9 v^{3})$

Multiply $u$ by $u^{2}$ .

Raise $u$ to the power of $1$ .

$7 (u^{1} u^{2}) v^{5} \cdot (9 v^{3})$

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

$7 u^{1 + 2} v^{5} \cdot (9 v^{3})$

Add $1$ and $2$ .

$7 u^{3} v^{5} \cdot (9 v^{3})$

Multiply $v^{5}$ by $v^{3}$ by adding the exponents.

Move $v^{3}$ .

$7 u^{3} (v^{3} v^{5}) \cdot 9$

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

$7 u^{3} v^{3 + 5} \cdot 9$

Add $3$ and $5$ .

$7 u^{3} v^{8} \cdot 9$

Multiply $9$ by $7$ .

$63 u^{3} v^{8}$