Solve 4xy^-4/4x^0y^-1

$$\frac { 4 x y ^ { - 4 } } { 4 x ^ { 0 } y ^ { - 1 } }$$

Evaluate

$$\frac{x}{y^{3}}$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{y^{-4}x}{\frac{1}{y}x^{0}}$$

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

$$\frac{y^{-4}x^{1}}{\frac{1}{y}}$$

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

$$\frac{x^{1}}{y^{3}}$$

Calculate x to the power of 1 and get x.

$$\frac{x}{y^{3}}$$

Differentiate w.r.t. x

$$\frac{1}{y^{3}}$$