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

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

Evaluate

$$2y^{3}x^{16}$$

Solution Steps

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

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

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

$$y^{3}x^{12}\times 2x^{4}$$

To multiply powers of the same base, add their exponents. Add 12 and 4 to get 16.

$$y^{3}x^{16}\times 2$$

Expand

$$2y^{3}x^{16}$$

Solution Steps

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

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

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

$$y^{3}x^{12}\times 2x^{4}$$

To multiply powers of the same base, add their exponents. Add 12 and 4 to get 16.

$$y^{3}x^{16}\times 2$$