Solve (y^2z^3)^3=

$$( y ^ { 2 } z ^ { 3 } ) ^ { 3 } =$$

Evaluate

$$y^{6}z^{9}$$

Solution Steps

Use the rules of exponents to simplify the expression.

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

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

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

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

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

Multiply 2 times 3.

$$y^{6}z^{3\times 3}$$

Multiply 3 times 3.

$$y^{6}z^{9}$$

Expand

$$y^{6}z^{9}$$

Solution Steps

Use the rules of exponents to simplify the expression.

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

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

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

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

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

Multiply 2 times 3.

$$y^{6}z^{3\times 3}$$

Multiply 3 times 3.

$$y^{6}z^{9}$$