Solve (-2wx^-5y^2)^-3

$$( - 2 w x ^ { - 5 } y ^ { 2 } ) ^ { - 3 }$$

Evaluate

$$-\frac{x^{15}}{8w^{3}y^{6}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-2w^{1}x^{-5}y^{2}\right)^{-3}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-2\right)^{-3}\left(w^{1}\right)^{-3}\left(x^{-5}\right)^{-3}\left(y^{2}\right)^{-3}$$

Raise -2 to the power -3.

$$-\frac{1}{8}\left(w^{1}\right)^{-3}\left(x^{-5}\right)^{-3}\left(y^{2}\right)^{-3}$$

To raise a power to another power, multiply the exponents.

$$-\frac{1}{8}w^{-3}x^{-5\left(-3\right)}y^{2\left(-3\right)}$$

Multiply -5 times -3.

$$-\frac{1}{8}\times \frac{1}{w^{3}}x^{15}y^{2\left(-3\right)}$$

Multiply 2 times -3.

$$-\frac{1}{8}\times \frac{1}{w^{3}}x^{15}\times \frac{1}{y^{6}}$$

Expand

$$-\frac{x^{15}}{8w^{3}y^{6}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(-2w^{1}x^{-5}y^{2}\right)^{-3}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(-2\right)^{-3}\left(w^{1}\right)^{-3}\left(x^{-5}\right)^{-3}\left(y^{2}\right)^{-3}$$

Raise -2 to the power -3.

$$-\frac{1}{8}\left(w^{1}\right)^{-3}\left(x^{-5}\right)^{-3}\left(y^{2}\right)^{-3}$$

To raise a power to another power, multiply the exponents.

$$-\frac{1}{8}w^{-3}x^{-5\left(-3\right)}y^{2\left(-3\right)}$$

Multiply -5 times -3.

$$-\frac{1}{8}\times \frac{1}{w^{3}}x^{15}y^{2\left(-3\right)}$$

Multiply 2 times -3.

$$-\frac{1}{8}\times \frac{1}{w^{3}}x^{15}\times \frac{1}{y^{6}}$$