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

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

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 2 y^{2} y^{5}$

Step 2

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

Move $y^{5}$ .

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

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

$6 \cdot 2 y^{5 + 2}$

Add $5$ and $2$ .

$6 \cdot 2 y^{7}$

Step 3

Multiply $6$ by $2$ .

$12 y^{7}$