Solve x(x^2y)^3

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

Evaluate

$$y^{3}x^{7}$$

Solution Steps

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

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

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

$$xx^{6}y^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$x^{7}y^{3}$$

Expand

$$y^{3}x^{7}$$

Solution Steps

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

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

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

$$xx^{6}y^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$x^{7}y^{3}$$