Solve (x^-2y^3z^0)^-3

$$( x ^ { - 2 } y ^ { 3 } z ^ { 0 } ) ^ { - 3 }$$

Evaluate

$$\frac{x^{6}}{y^{9}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{-2}y^{3}z^{0}\right)^{-3}$$

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

$$1^{-3}\left(x^{-2}\right)^{-3}\left(y^{3}\right)^{-3}\left(z^{0}\right)^{-3}$$

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

$$x^{-2\left(-3\right)}y^{3\left(-3\right)}z^{0}$$

Multiply -2 times -3.

$$x^{6}y^{3\left(-3\right)}z^{0}$$

Multiply 3 times -3.

$$x^{6}\times \frac{1}{y^{9}}z^{0}$$

Multiply 0 times -3.

$$x^{6}\times \frac{1}{y^{9}}$$

Expand

$$\frac{x^{6}}{y^{9}}$$

Steps for Raising Product to a Power

Use the rules of exponents to simplify the expression.

$$\left(x^{-2}y^{3}z^{0}\right)^{-3}$$

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

$$1^{-3}\left(x^{-2}\right)^{-3}\left(y^{3}\right)^{-3}\left(z^{0}\right)^{-3}$$

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

$$x^{-2\left(-3\right)}y^{3\left(-3\right)}z^{0}$$

Multiply -2 times -3.

$$x^{6}y^{3\left(-3\right)}z^{0}$$

Multiply 3 times -3.

$$x^{6}\times \frac{1}{y^{9}}z^{0}$$

Multiply 0 times -3.

$$x^{6}\times \frac{1}{y^{9}}$$