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

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

Evaluate

$$y^{3}x^{10}$$

Solution Steps

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

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

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

$$x^{6}y^{3}x^{4}$$

To multiply powers of the same base, add their exponents. Add 6 and 4 to get 10.

$$x^{10}y^{3}$$

Expand

$$y^{3}x^{10}$$

Solution Steps

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

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

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

$$x^{6}y^{3}x^{4}$$

To multiply powers of the same base, add their exponents. Add 6 and 4 to get 10.

$$x^{10}y^{3}$$