Solve frac{(x^{2}y)^{0}x^3y^-2}{x^-1y^2}=?

$$\frac { ( x ^ { 2 } y ) ^ { 0 } x ^ { 3 } y ^ { - 2 } } { x ^ { - 1 } y ^ { 2 } } = ?$$

Evaluate

$$\left(\frac{x}{y}\right)^{4}$$

Short Solution Steps

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

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

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

$$\frac{x^{4}\left(yx^{2}\right)^{0}}{y^{4}}$$

Calculate yx^{2} to the power of 0 and get 1.

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

For any term t, t\times 1=t and 1t=t.

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

Differentiate w.r.t. x

$$\frac{4x^{3}}{y^{4}}$$