Simplify x^82y^105x^5

$x^{8} \cdot 2 y^{10} \cdot 5 x^{5}$

Multiply $x^{8}$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

$x^{5} x^{8} \cdot (2 y^{10}) \cdot 5$

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

$x^{5 + 8} \cdot (2 y^{10}) \cdot 5$

Add $5$ and $8$ .

$x^{13} \cdot (2 y^{10}) \cdot 5$

Rewrite using the commutative property of multiplication.

$2 x^{13} y^{10} \cdot 5$

Multiply $5$ by $2$ .

$10 x^{13} y^{10}$

Simplify x^8*2y^10*5x^5