Solve (w^3z^2)^4

$$( w ^ { 3 } z ^ { 2 } ) ^ { 4 }$$

Evaluate

$$z^{8}w^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(w^{3}z^{2}\right)^{4}$$

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

$$\left(w^{3}\right)^{4}\left(z^{2}\right)^{4}$$

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

$$w^{3\times 4}z^{2\times 4}$$

Multiply 3 times 4.

$$w^{12}z^{2\times 4}$$

Multiply 2 times 4.

$$w^{12}z^{8}$$

Expand

$$z^{8}w^{12}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(w^{3}z^{2}\right)^{4}$$

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

$$\left(w^{3}\right)^{4}\left(z^{2}\right)^{4}$$

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

$$w^{3\times 4}z^{2\times 4}$$

Multiply 3 times 4.

$$w^{12}z^{2\times 4}$$

Multiply 2 times 4.

$$w^{12}z^{8}$$