Solve (x^2*y^2)^6=

$$( x ^ { 2 } \cdot y ^ { 2 } ) ^ { 6 } =$$

Evaluate

$$\left(xy\right)^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(x^{2}y^{2}\right)^{6}$$

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

$$\left(x^{2}\right)^{6}\left(y^{2}\right)^{6}$$

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

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

Multiply 2 times 6.

$$x^{12}y^{2\times 6}$$

Multiply 2 times 6.

$$x^{12}y^{12}$$

Expand

$$\left(xy\right)^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(x^{2}y^{2}\right)^{6}$$

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

$$\left(x^{2}\right)^{6}\left(y^{2}\right)^{6}$$

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

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

Multiply 2 times 6.

$$x^{12}y^{2\times 6}$$

Multiply 2 times 6.

$$x^{12}y^{12}$$