Solve x(2x^2)^3x

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

Evaluate

$$8x^{8}$$

Solution Steps

Multiply x and x to get x^{2}.

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

Expand \left(2x^{2}\right)^{3}.

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

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

$$x^{2}\times 2^{3}x^{6}$$

Calculate 2 to the power of 3 and get 8.

$$x^{2}\times 8x^{6}$$

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$x^{8}\times 8$$

Expand

$$8x^{8}$$

Solution Steps

Multiply x and x to get x^{2}.

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

Expand \left(2x^{2}\right)^{3}.

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

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

$$x^{2}\times 2^{3}x^{6}$$

Calculate 2 to the power of 3 and get 8.

$$x^{2}\times 8x^{6}$$

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$x^{8}\times 8$$