Simplify -8x^3(10x^3y)

$- 8 x^{3} (10 x^{3} y)$

Step 1

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$- 8 (x^{3} x^{3}) (10 y)$

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

$- 8 x^{3 + 3} (10 y)$

Add $3$ and $3$ .

$- 8 x^{6} (10 y)$

Step 2

Rewrite using the commutative property of multiplication.

$- 8 \cdot 10 x^{6} y$

Step 3

Multiply $- 8$ by $10$ .

$- 80 x^{6} y$