Esercizio
$\left(3+\sqrt[3]{x^4}\right)\left(\sqrt[4]{x^3}x-3x^{\frac{1}{3}}-100x^{\frac{-4}{3}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni trigonometriche passo dopo passo. (3+x^4^(1/3))(x^3^(1/4)x-3x^(1/3)-100x^(-4/3)). Simplify \sqrt[3]{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{3}. 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: x\cdot x^n=x^{\left(n+1\right)}, dove x^nx=\sqrt[4]{x^{3}}x, x^n=\sqrt[4]{x^{3}} e n=\frac{3}{4}. Moltiplicare il termine singolo \sqrt[4]{x^{7}}-3\sqrt[3]{x}-100x^{-\frac{4}{3}} per ciascun termine del polinomio \left(3+\sqrt[3]{x^{4}}\right).
(3+x^4^(1/3))(x^3^(1/4)x-3x^(1/3)-100x^(-4/3))
Risposta finale al problema
$3\sqrt[4]{x^{7}}-9\sqrt[3]{x}-300x^{-\frac{4}{3}}+\sqrt[12]{x^{37}}-3\sqrt[3]{x^{5}}-100$