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

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

Evaluate

$$\left(x^{2}-1\right)x^{6}$$

Solution Steps

Calculate -x^{3} to the power of 2 and get \left(x^{3}\right)^{2}.

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

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

$$\left(-x^{2}\right)^{4}-x^{6}$$

Expand \left(-x^{2}\right)^{4}.

$$\left(-1\right)^{4}\left(x^{2}\right)^{4}-x^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\left(-1\right)^{4}x^{8}-x^{6}$$

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

$$1x^{8}-x^{6}$$

For any term t, t\times 1=t and 1t=t.

$$x^{8}-x^{6}$$

Expand

$$x^{8}-x^{6}$$

Solution Steps

Calculate -x^{3} to the power of 2 and get \left(x^{3}\right)^{2}.

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

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

$$\left(-x^{2}\right)^{4}-x^{6}$$

Expand \left(-x^{2}\right)^{4}.

$$\left(-1\right)^{4}\left(x^{2}\right)^{4}-x^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\left(-1\right)^{4}x^{8}-x^{6}$$

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

$$1x^{8}-x^{6}$$

For any term t, t\times 1=t and 1t=t.

$$x^{8}-x^{6}$$