Esercizio
$\sqrt[3]{a^2}.\frac{\sqrt[4]{a^3}}{\sqrt[6]{a^5}}$
Soluzione passo-passo
Impara online a risolvere i problemi di fattorizzazione passo dopo passo. a^2^(1/3)(a^3^(1/4))/(a^5^(1/6)). Simplify \sqrt[3]{a^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Simplify \sqrt[6]{a^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{6}. Simplify \sqrt[4]{a^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^m}{a^n}=\frac{1}{a^{\left(n-m\right)}}, dove m=\frac{3}{4} e n=\frac{5}{6}.
a^2^(1/3)(a^3^(1/4))/(a^5^(1/6))
Risposta finale al problema
$\sqrt[12]{a^{7}}$