Solve (xy)^2*(xy)^4=

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

Evaluate

$$\left(xy\right)^{6}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$\left(x^{1}y^{1}\right)^{2}\left(x^{1}y^{1}\right)^{4}$$

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

$$\left(x^{1}\right)^{2}\left(y^{1}\right)^{2}\left(x^{1}\right)^{4}\left(y^{1}\right)^{4}$$

Use the Commutative Property of Multiplication.

$$\left(x^{1}\right)^{2}\left(x^{1}\right)^{4}\left(y^{1}\right)^{2}\left(y^{1}\right)^{4}$$

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

$$x^{2}x^{4}y^{2}y^{4}$$

To multiply powers of the same base, add their exponents.

$$x^{2+4}y^{2+4}$$

Add the exponents 2 and 4.

$$x^{6}y^{2+4}$$

Add the exponents 2 and 4.

$$x^{6}y^{6}$$

Expand

$$\left(xy\right)^{6}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$\left(x^{1}y^{1}\right)^{2}\left(x^{1}y^{1}\right)^{4}$$

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

$$\left(x^{1}\right)^{2}\left(y^{1}\right)^{2}\left(x^{1}\right)^{4}\left(y^{1}\right)^{4}$$

Use the Commutative Property of Multiplication.

$$\left(x^{1}\right)^{2}\left(x^{1}\right)^{4}\left(y^{1}\right)^{2}\left(y^{1}\right)^{4}$$

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

$$x^{2}x^{4}y^{2}y^{4}$$

To multiply powers of the same base, add their exponents.

$$x^{2+4}y^{2+4}$$

Add the exponents 2 and 4.

$$x^{6}y^{2+4}$$

Add the exponents 2 and 4.

$$x^{6}y^{6}$$