Simplify 6r*5r^2

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $r^{2}$ .

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

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

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

$6 \cdot 5 (r^{2} r^{1})$

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

$6 \cdot 5 r^{2 + 1}$

Add $2$ and $1$ .

$6 \cdot 5 r^{3}$

Step 3

Multiply $6$ by $5$ .

$30 r^{3}$