Simplify 4a^33b^35a^2

$4 a^{3} \cdot 3 b^{3} \cdot 5 a^{2}$

Multiply $a^{3}$ by $a^{2}$ by adding the exponents.

Move $a^{2}$ .

$4 (a^{2} a^{3}) \cdot (3 b^{3}) \cdot 5$

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

$4 a^{2 + 3} \cdot (3 b^{3}) \cdot 5$

Add $2$ and $3$ .

$4 a^{5} \cdot (3 b^{3}) \cdot 5$

Rewrite using the commutative property of multiplication.

$4 \cdot 3 a^{5} b^{3} \cdot 5$

Multiply $4$ by $3$ .

$12 a^{5} b^{3} \cdot 5$

Multiply $5$ by $12$ .

$60 a^{5} b^{3}$

Simplify 4a^3*3b^3*5a^2