Simplify (5x^5)(3y^6)(3x^2)

$(5 x^{5}) (3 y^{6}) (3 x^{2})$

Step 1

Multiply $x^{5}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$5 (x^{2} x^{5}) (3 y^{6}) \cdot 3$

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

$5 x^{2 + 5} (3 y^{6}) \cdot 3$

Add $2$ and $5$ .

$5 x^{7} (3 y^{6}) \cdot 3$

Step 2

Rewrite using the commutative property of multiplication.

$5 \cdot 3 x^{7} y^{6} \cdot 3$

Step 3

Multiply $5$ by $3$ .

$15 x^{7} y^{6} \cdot 3$

Step 4

Multiply $3$ by $15$ .

$45 x^{7} y^{6}$