Simplify (10x^8y^5)(x^3yz)

$(10 x^{8} y^{5}) (x^{3} y z)$

Multiply $x^{8}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$10 (x^{3} x^{8}) y^{5} (y z)$

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

$10 x^{3 + 8} y^{5} (y z)$

Add $3$ and $8$ .

$10 x^{11} y^{5} (y z)$

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

Move $y$ .

$10 x^{11} (y \cdot y^{5}) z$

Multiply $y$ by $y^{5}$ .

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

$10 x^{11} (y^{1} y^{5}) z$

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

$10 x^{11} y^{1 + 5} z$

Add $1$ and $5$ .

$10 x^{11} y^{6} z$