Solve left(9xy^2zright)^3

$${ \left(9x { y }^{ 2 } z \right) }^{ 3 }$$

Evaluate

$$729y^{6}\left(xz\right)^{3}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(9x^{1}y^{2}z^{1}\right)^{3}$$

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

$$9^{3}\left(x^{1}\right)^{3}\left(y^{2}\right)^{3}\left(z^{1}\right)^{3}$$

Raise 9 to the power 3.

$$729\left(x^{1}\right)^{3}\left(y^{2}\right)^{3}\left(z^{1}\right)^{3}$$

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

$$729x^{3}y^{2\times 3}z^{3}$$

Multiply 2 times 3.

$$729x^{3}y^{6}z^{3}$$

Expand

$$729y^{6}\left(xz\right)^{3}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(9x^{1}y^{2}z^{1}\right)^{3}$$

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

$$9^{3}\left(x^{1}\right)^{3}\left(y^{2}\right)^{3}\left(z^{1}\right)^{3}$$

Raise 9 to the power 3.

$$729\left(x^{1}\right)^{3}\left(y^{2}\right)^{3}\left(z^{1}\right)^{3}$$

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

$$729x^{3}y^{2\times 3}z^{3}$$

Multiply 2 times 3.

$$729x^{3}y^{6}z^{3}$$