Simplify (-5b^3)(-3b^6)

$(- 5 b^{3}) (- 3 b^{6})$

Step 1

Rewrite using the commutative property of multiplication.

$- 5 \cdot - 3 b^{3} b^{6}$

Step 2

Multiply $b^{3}$ by $b^{6}$ by adding the exponents.

Move $b^{6}$ .

$- 5 \cdot - 3 (b^{6} b^{3})$

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

$- 5 \cdot - 3 b^{6 + 3}$

Add $6$ and $3$ .

$- 5 \cdot - 3 b^{9}$

Step 3

Multiply $- 5$ by $- 3$ .

$15 b^{9}$