Esercizio
$\sqrt{\sqrt[4]{2^{-20}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni radicali passo dopo passo. Simplify the expression with radicals 2^(-20)^(1/4)^(1/2). Simplify \sqrt{\sqrt[4]{2^{-20}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{4} and n equals \frac{1}{2}. Simplify \left(2^{-20}\right)^{\frac{1}{4}\cdot \frac{1}{2}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -20 and n equals \frac{1}{4}\cdot \frac{1}{2}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=4, c=-20, a/b=\frac{1}{4} e ca/b=-20\cdot \left(\frac{1}{4}\right)\cdot \left(\frac{1}{2}\right). Applicare la formula: ab=ab, dove ab=-20\cdot 1, a=-20 e b=1.
Simplify the expression with radicals 2^(-20)^(1/4)^(1/2)
Risposta finale al problema
$2^{-\frac{5}{2}}$