Solve (2x^4/-4x^-5)^0

$$( \frac { 2 x ^ { 4 } } { - 4 x ^ { - 5 } } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\left(\frac{x^{4}}{-2x^{-5}}\right)^{0}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\left(\frac{x^{9}}{-2}\right)^{0}$$

To raise \frac{x^{9}}{-2} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(x^{9}\right)^{0}}{\left(-2\right)^{0}}$$

To raise a power to another power, multiply the exponents. Multiply 9 and 0 to get 0.

$$\frac{x^{0}}{\left(-2\right)^{0}}$$

Calculate x to the power of 0 and get 1.

$$\frac{1}{\left(-2\right)^{0}}$$

Calculate -2 to the power of 0 and get 1.

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

Anything divided by one gives itself.

$$1$$

Factor

$$1$$