Simplify 10x^2y^3(10xy^8)

$10 x^{2} y^{3} (10 x y^{8})$

Step 1

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$10 (x \cdot x^{2}) y^{3} (10 y^{8})$

Multiply $x$ by $x^{2}$ .

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

$10 (x^{1} x^{2}) y^{3} (10 y^{8})$

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

$10 x^{1 + 2} y^{3} (10 y^{8})$

Add $1$ and $2$ .

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

Step 2

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

Move $y^{8}$ .

$10 x^{3} (y^{8} y^{3}) \cdot 10$

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

$10 x^{3} y^{8 + 3} \cdot 10$

Add $8$ and $3$ .

$10 x^{3} y^{11} \cdot 10$

Step 3

Multiply $10$ by $10$ .

$100 x^{3} y^{11}$