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

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

Evaluate

$$8y^{5}x^{6}$$

Solution Steps

Expand \left(-2x^{2}\right)^{3}.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\left(-2\right)^{3}x^{6}\left(-y\right)^{5}$$

Calculate -2 to the power of 3 and get -8.

$$-8x^{6}\left(-y\right)^{5}$$

Expand \left(-y\right)^{5}.

$$-8x^{6}\left(-1\right)^{5}y^{5}$$

Calculate -1 to the power of 5 and get -1.

$$-8x^{6}\left(-1\right)y^{5}$$

Multiply -8 and -1 to get 8.

$$8x^{6}y^{5}$$

Expand

$$8y^{5}x^{6}$$

Solution Steps

Expand \left(-2x^{2}\right)^{3}.

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

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\left(-2\right)^{3}x^{6}\left(-y\right)^{5}$$

Calculate -2 to the power of 3 and get -8.

$$-8x^{6}\left(-y\right)^{5}$$

Expand \left(-y\right)^{5}.

$$-8x^{6}\left(-1\right)^{5}y^{5}$$

Calculate -1 to the power of 5 and get -1.

$$-8x^{6}\left(-1\right)y^{5}$$

Multiply -8 and -1 to get 8.

$$8x^{6}y^{5}$$