Esercizio
$\sqrt[3]{a\sqrt{a\sqrt{a}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di divisione lunga polinomiale passo dopo passo. (a(aa^(1/2))^(1/2))^(1/3). Applicare la formula: x\cdot x^n=x^{\left(n+1\right)}, dove x^nx=a\sqrt{a}, x=a, x^n=\sqrt{a} e n=\frac{1}{2}. Simplify \sqrt{\sqrt{a^{3}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2} and n equals \frac{1}{2}. Applicare la formula: x\cdot x^n=x^{\left(n+1\right)}, dove x^nx=a\cdot a^{\frac{3}{2}\cdot \frac{1}{2}}, x=a, x^n=a^{\frac{3}{2}\cdot \frac{1}{2}} e n=\frac{3}{2}\cdot \frac{1}{2}. Simplify \sqrt[3]{a^{\left(\frac{3}{2}\cdot \frac{1}{2}+1\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2}\cdot \frac{1}{2}+1 and n equals \frac{1}{3}.
(a(aa^(1/2))^(1/2))^(1/3)
Risposta finale al problema
$\sqrt[12]{a^{7}}$