Solve -(-x^3)^4*(-x^2)^5=

$$- ( - x ^ { 3 } ) ^ { 4 } \cdot ( - x ^ { 2 } ) ^ { 5 } =$$

Evaluate

$$x^{22}$$

Solution Steps

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

$$-\left(-1\right)^{4}\left(x^{3}\right)^{4}\left(-x^{2}\right)^{5}$$

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

$$-\left(-1\right)^{4}x^{12}\left(-x^{2}\right)^{5}$$

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

$$-x^{12}\left(-x^{2}\right)^{5}$$

Expand \left(-x^{2}\right)^{5}.

$$-x^{12}\left(-1\right)^{5}\left(x^{2}\right)^{5}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$-x^{12}\left(-1\right)^{5}x^{10}$$

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

$$-x^{12}\left(-1\right)x^{10}$$

Multiply -1 and -1 to get 1.

$$x^{12}x^{10}$$

To multiply powers of the same base, add their exponents. Add 12 and 10 to get 22.

$$x^{22}$$

Expand

$$x^{22}$$

Solution Steps

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

$$-\left(-1\right)^{4}\left(x^{3}\right)^{4}\left(-x^{2}\right)^{5}$$

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

$$-\left(-1\right)^{4}x^{12}\left(-x^{2}\right)^{5}$$

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

$$-x^{12}\left(-x^{2}\right)^{5}$$

Expand \left(-x^{2}\right)^{5}.

$$-x^{12}\left(-1\right)^{5}\left(x^{2}\right)^{5}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$-x^{12}\left(-1\right)^{5}x^{10}$$

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

$$-x^{12}\left(-1\right)x^{10}$$

Multiply -1 and -1 to get 1.

$$x^{12}x^{10}$$

To multiply powers of the same base, add their exponents. Add 12 and 10 to get 22.

$$x^{22}$$