Esercizio
$\sqrt[3]{x^2\sqrt[12]{x\sqrt{x^3}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. (x^2(xx^3^(1/2))^(1/12))^(1/3). Simplify \sqrt{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}{2}. Applicare la formula: x\cdot x^n=x^{\left(n+1\right)}, dove x^nx=x\sqrt{x^{3}}, x^n=\sqrt{x^{3}} e n=\frac{3}{2}. Simplify \sqrt{\sqrt{x^{5}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{5}{2} and n equals \frac{1}{12}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove m=2 e n=\frac{5}{2}\cdot \frac{1}{12}.
(x^2(xx^3^(1/2))^(1/12))^(1/3)
Risposta finale al problema
$\sqrt[72]{x^{53}}$