Esercizio
$\sqrt[5]{\sqrt{2^{10}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di semplificazione di frazioni algebriche passo dopo passo. Simplify the expression with radicals 2^10^(1/2)^(1/5). Simplify \sqrt[5]{\sqrt{2^{10}}} 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}{5}. Simplify \left(2^{10}\right)^{\frac{1}{2}\cdot \frac{1}{5}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{1}{2}\cdot \frac{1}{5}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=2, c=10, a/b=\frac{1}{2} e ca/b=10\cdot \left(\frac{1}{2}\right)\cdot \left(\frac{1}{5}\right). Applicare la formula: ab=ab, dove ab=10\cdot 1, a=10 e b=1.
Simplify the expression with radicals 2^10^(1/2)^(1/5)
Risposta finale al problema
$2$