Solve (x^3y^2z^4)^5=

$$( x ^ { 3 } y ^ { 2 } z ^ { 4 } ) ^ { 5 } =$$

Evaluate

$$y^{10}x^{15}z^{20}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{3}y^{2}z^{4}\right)^{5}$$

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

$$1^{5}\left(x^{3}\right)^{5}\left(y^{2}\right)^{5}\left(z^{4}\right)^{5}$$

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

$$x^{3\times 5}y^{2\times 5}z^{4\times 5}$$

Multiply 3 times 5.

$$x^{15}y^{2\times 5}z^{4\times 5}$$

Multiply 2 times 5.

$$x^{15}y^{10}z^{4\times 5}$$

Multiply 4 times 5.

$$x^{15}y^{10}z^{20}$$

Expand

$$y^{10}x^{15}z^{20}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{3}y^{2}z^{4}\right)^{5}$$

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

$$1^{5}\left(x^{3}\right)^{5}\left(y^{2}\right)^{5}\left(z^{4}\right)^{5}$$

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

$$x^{3\times 5}y^{2\times 5}z^{4\times 5}$$

Multiply 3 times 5.

$$x^{15}y^{2\times 5}z^{4\times 5}$$

Multiply 2 times 5.

$$x^{15}y^{10}z^{4\times 5}$$

Multiply 4 times 5.

$$x^{15}y^{10}z^{20}$$