Solve -1(-4x^3y^3)^4

$$- 1 ( - 4 x ^ { 3 } y ^ { 3 } ) ^ { 4 }$$

Evaluate

$$-256\left(xy\right)^{12}$$

Solution Steps

Expand \left(-4x^{3}y^{3}\right)^{4}.

$$-\left(-4\right)^{4}\left(x^{3}\right)^{4}\left(y^{3}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$-\left(-4\right)^{4}x^{12}\left(y^{3}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$-\left(-4\right)^{4}x^{12}y^{12}$$

Calculate -4 to the power of 4 and get 256.

$$-256x^{12}y^{12}$$

Expand

$$-256\left(xy\right)^{12}$$

Solution Steps

Expand \left(-4x^{3}y^{3}\right)^{4}.

$$-\left(-4\right)^{4}\left(x^{3}\right)^{4}\left(y^{3}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$-\left(-4\right)^{4}x^{12}\left(y^{3}\right)^{4}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 4 to get 12.

$$-\left(-4\right)^{4}x^{12}y^{12}$$

Calculate -4 to the power of 4 and get 256.

$$-256x^{12}y^{12}$$