Solve (x^-5/y)^0

$$( \frac { x ^ { - 5 } } { y } ) ^ { 0 }$$

Evaluate

$$1$$

Steps for Raising the Quotient to a Power

Use the rules of exponents to simplify the expression.

$$\left(\frac{x^{-5}}{y^{1}}\right)^{0}$$

To raise the quotient of two numbers to a power, raise each number to the power and then divide.

$$\frac{\left(x^{-5}\right)^{0}}{\left(y^{1}\right)^{0}}$$

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

$$\frac{x^{0}}{y^{0}}$$

For any number a except 0, a^{0}=1.

$$\frac{1}{y^{0}}$$

For any number a except 0, a^{0}=1.

$$\frac{1}{1}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(x^{-5}\times \frac{1}{y}\right)^{0}$$

For any number a except 0, a^{0}=1.

$$1$$

Factor

$$1$$