Simplify (r^3)(2r^5)

$(r^{3}) (2 r^{5})$

Step 1

Rewrite using the commutative property of multiplication.

$2 r^{3} r^{5}$

Step 2

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

Move $r^{5}$ .

$2 (r^{5} r^{3})$

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

$2 r^{5 + 3}$

Add $5$ and $3$ .

$2 r^{8}$