Solve (-5x^5y^-6)(2x^-6y)

$$(-5 { x }^{ 5 } { y }^{ -6 } )(2 { x }^{ -6 } y)$$

Evaluate

$$-\frac{10}{xy^{5}}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-5\right)^{1}x^{5}y^{-6}\times 2^{1}x^{-6}y^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-5\right)^{1}\times 2^{1}x^{5}x^{-6}y^{-6}y^{1}$$

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

$$\left(-5\right)^{1}\times 2^{1}x^{5-6}y^{-6+1}$$

Add the exponents 5 and -6.

$$\left(-5\right)^{1}\times 2^{1}\times \frac{1}{x}y^{-6+1}$$

Add the exponents -6 and 1.

$$\left(-5\right)^{1}\times 2^{1}\times \frac{1}{x}y^{-5}$$

Multiply -5 times 2.

$$-10\times \frac{1}{x}\times \frac{1}{y^{5}}$$

Differentiate w.r.t. x

$$\frac{10}{x^{2}y^{5}}$$