Solve (2)(-x^3)^4*(-x^4)^3

$$( 2 ) ( - x ^ { 3 } ) ^ { 4 } \cdot ( - x ^ { 4 } ) ^ { 3 }$$

Evaluate

$$-2x^{24}$$

Solution Steps

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

$$2\left(-1\right)^{4}\left(x^{3}\right)^{4}\left(-x^{4}\right)^{3}$$

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

$$2\left(-1\right)^{4}x^{12}\left(-x^{4}\right)^{3}$$

Calculate -1 to the power of 4 and get 1.

$$2\times 1x^{12}\left(-x^{4}\right)^{3}$$

Multiply 2 and 1 to get 2.

$$2x^{12}\left(-x^{4}\right)^{3}$$

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

$$2x^{12}\left(-1\right)^{3}\left(x^{4}\right)^{3}$$

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

$$2x^{12}\left(-1\right)^{3}x^{12}$$

Calculate -1 to the power of 3 and get -1.

$$2x^{12}\left(-1\right)x^{12}$$

Multiply 2 and -1 to get -2.

$$-2x^{12}x^{12}$$

To multiply powers of the same base, add their exponents. Add 12 and 12 to get 24.

$$-2x^{24}$$

Expand

$$-2x^{24}$$

Solution Steps

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

$$2\left(-1\right)^{4}\left(x^{3}\right)^{4}\left(-x^{4}\right)^{3}$$

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

$$2\left(-1\right)^{4}x^{12}\left(-x^{4}\right)^{3}$$

Calculate -1 to the power of 4 and get 1.

$$2\times 1x^{12}\left(-x^{4}\right)^{3}$$

Multiply 2 and 1 to get 2.

$$2x^{12}\left(-x^{4}\right)^{3}$$

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

$$2x^{12}\left(-1\right)^{3}\left(x^{4}\right)^{3}$$

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

$$2x^{12}\left(-1\right)^{3}x^{12}$$

Calculate -1 to the power of 3 and get -1.

$$2x^{12}\left(-1\right)x^{12}$$

Multiply 2 and -1 to get -2.

$$-2x^{12}x^{12}$$

To multiply powers of the same base, add their exponents. Add 12 and 12 to get 24.

$$-2x^{24}$$