Esercizio
$z=\frac{y\sqrt[4]{x}}{\sqrt[4]{y^3}}-\sqrt[4]{xy}-\frac{\sqrt[4]{y}}{\sqrt[4]{x^3}}$
Soluzione passo-passo
Impara online a risolvere i problemi di prodotti speciali passo dopo passo. z=(yx^(1/4))/(y^3^(1/4))-(xy)^(1/4)(-y^(1/4))/(x^3^(1/4)). Simplify \sqrt[4]{y^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{4}. Simplify \sqrt[4]{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{4}. Applicare la formula: \frac{a}{a^n}=a^{\left(1-n\right)}, dove a=y e n=\frac{3}{4}. Applicare la formula: \left(ab\right)^n=a^nb^n.
z=(yx^(1/4))/(y^3^(1/4))-(xy)^(1/4)(-y^(1/4))/(x^3^(1/4))
Risposta finale al problema
$y=z^4x^{3}$