Solve 2(x^{6})^3-4(-x^3)^4*x^6

$$2 ( x ^ { 6 } ) ^ { 3 } - 4 ( - x ^ { 3 } ) ^ { 4 } \cdot x ^ { 6 }$$

Evaluate

$$-2x^{18}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and 3 to get 18.

$$2x^{18}-4\left(-x^{3}\right)^{4}x^{6}$$

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

$$2x^{18}-4\left(-1\right)^{4}\left(x^{3}\right)^{4}x^{6}$$

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

$$2x^{18}-4\left(-1\right)^{4}x^{12}x^{6}$$

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

$$2x^{18}-4x^{12}x^{6}$$

To multiply powers of the same base, add their exponents. Add 12 and 6 to get 18.

$$2x^{18}-4x^{18}$$

Combine 2x^{18} and -4x^{18} to get -2x^{18}.

$$-2x^{18}$$

Expand

$$-2x^{18}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and 3 to get 18.

$$2x^{18}-4\left(-x^{3}\right)^{4}x^{6}$$

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

$$2x^{18}-4\left(-1\right)^{4}\left(x^{3}\right)^{4}x^{6}$$

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

$$2x^{18}-4\left(-1\right)^{4}x^{12}x^{6}$$

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

$$2x^{18}-4x^{12}x^{6}$$

To multiply powers of the same base, add their exponents. Add 12 and 6 to get 18.

$$2x^{18}-4x^{18}$$

Combine 2x^{18} and -4x^{18} to get -2x^{18}.

$$-2x^{18}$$