Esercizio
$\sqrt{a^3\sqrt{a\sqrt{a}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di potenza di un prodotto passo dopo passo. (a^3(aa^(1/2))^(1/2))^(1/2). 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^mx^n=x^{\left(m+n\right)}, dove x=a, m=3 e n=\frac{3}{2}\cdot \frac{1}{2}. Simplify \sqrt{a^{\left(3+\frac{3}{2}\cdot \frac{1}{2}\right)}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3+\frac{3}{2}\cdot \frac{1}{2} and n equals \frac{1}{2}.
(a^3(aa^(1/2))^(1/2))^(1/2)
Risposta finale al problema
$\sqrt[8]{a^{15}}$