Solve (x^2y^3)^8

$$( x ^ { 2 } y ^ { 3 } ) ^ { 8 }$$

Evaluate

$$x^{16}y^{24}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(x^{2}y^{3}\right)^{8}$$

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

$$\left(x^{2}\right)^{8}\left(y^{3}\right)^{8}$$

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

$$x^{2\times 8}y^{3\times 8}$$

Multiply 2 times 8.

$$x^{16}y^{3\times 8}$$

Multiply 3 times 8.

$$x^{16}y^{24}$$

Expand

$$x^{16}y^{24}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(x^{2}y^{3}\right)^{8}$$

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

$$\left(x^{2}\right)^{8}\left(y^{3}\right)^{8}$$

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

$$x^{2\times 8}y^{3\times 8}$$

Multiply 2 times 8.

$$x^{16}y^{3\times 8}$$

Multiply 3 times 8.

$$x^{16}y^{24}$$