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