Solve =(x^2y)^frac{2{25}}

$$= ( x ^ { 2 } y ) ^ { \frac { 2 } { 25 } }$$

Evaluate

$$y^{\frac{2}{25}}x^{\frac{4}{25}}$$

Solution Steps

Expand \left(x^{2}y\right)^{\frac{2}{25}}.

$$\left(x^{2}\right)^{\frac{2}{25}}y^{\frac{2}{25}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and \frac{2}{25} to get \frac{4}{25}.

$$x^{\frac{4}{25}}y^{\frac{2}{25}}$$

Differentiate w.r.t. x

$$\frac{4y^{\frac{2}{25}}}{25x^{\frac{21}{25}}}$$