Esercizio
$\sqrt{\left(\sqrt{x\:+\sqrt{y}}\right)^5}$
Soluzione passo-passo
Impara online a risolvere i problemi di poteri dei poteri passo dopo passo. (x+y^(1/2))^(1/2)^5^(1/2). Simplify \sqrt{\left(\sqrt{x+\sqrt{y}}\right)^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: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=2, c=5, a/b=\frac{1}{2} e ca/b=5\cdot \left(\frac{1}{2}\right). Simplify \sqrt{\left(\sqrt{x+\sqrt{y}}\right)^{5}} 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{5}{2}. Simplify \sqrt{\left(\sqrt{x+\sqrt{y}}\right)^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}.
(x+y^(1/2))^(1/2)^5^(1/2)
Risposta finale al problema
$\sqrt[4]{\left(x+\sqrt{y}\right)^{5}}$