Simplify (4h^5k^3)(15k^2h^3)

$(4 h^{5} k^{3}) (15 k^{2} h^{3})$

Step 1

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

Move $h^{3}$ .

$4 (h^{3} h^{5}) k^{3} (15 k^{2})$

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

$4 h^{3 + 5} k^{3} (15 k^{2})$

Add $3$ and $5$ .

$4 h^{8} k^{3} (15 k^{2})$

Step 2

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

Move $k^{2}$ .

$4 h^{8} (k^{2} k^{3}) \cdot 15$

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

$4 h^{8} k^{2 + 3} \cdot 15$

Add $2$ and $3$ .

$4 h^{8} k^{5} \cdot 15$

Step 3

Multiply $15$ by $4$ .

$60 h^{8} k^{5}$