Solve -10x^6y^10*-7x^4y^10

$$- 10 x ^ { 6 } y ^ { 10 } \cdot - 7 x ^ { 4 } y ^ { 10 }$$

Evaluate

$$70x^{10}y^{20}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-10\right)^{1}x^{6}y^{10}\left(-7\right)^{1}x^{4}y^{10}$$

Use the Commutative Property of Multiplication.

$$\left(-10\right)^{1}\left(-7\right)^{1}x^{6}x^{4}y^{10}y^{10}$$

To multiply powers of the same base, add their exponents.

$$\left(-10\right)^{1}\left(-7\right)^{1}x^{6+4}y^{10+10}$$

Add the exponents 6 and 4.

$$\left(-10\right)^{1}\left(-7\right)^{1}x^{10}y^{10+10}$$

Add the exponents 10 and 10.

$$\left(-10\right)^{1}\left(-7\right)^{1}x^{10}y^{20}$$

Multiply -10 times -7.

$$70x^{10}y^{20}$$

Differentiate w.r.t. x

$$700x^{9}y^{20}$$