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