Simplify 10x^2*7xy^2

$10 x^{2} \cdot 7 x y^{2}$

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

Move $x$ .

$10 (x \cdot x^{2}) \cdot (7 y^{2})$

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

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

$10 (x^{1} x^{2}) \cdot (7 y^{2})$

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

$10 x^{1 + 2} \cdot (7 y^{2})$

Add $1$ and $2$ .

$10 x^{3} \cdot (7 y^{2})$

Rewrite using the commutative property of multiplication.

$10 \cdot 7 x^{3} y^{2}$

Multiply $10$ by $7$ .

$70 x^{3} y^{2}$