Solve (x^3y^6)^1/3

$$( x ^ { 3 } y ^ { 6 } ) ^ { 1 / 3 }$$

Evaluate

$$xy^{2}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\sqrt[3]{x^{3}y^{6}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\sqrt[3]{x^{3}}\sqrt[3]{y^{6}}$$

To raise a power to another power, multiply the exponents.

$$x^{3\times \frac{1}{3}}y^{6\times \frac{1}{3}}$$

Multiply 3 times \frac{1}{3}.

$$xy^{6\times \frac{1}{3}}$$

Multiply 6 times \frac{1}{3}.

$$xy^{2}$$

Differentiate w.r.t. x

$$y^{2}$$