Esercizio
$\sqrt[4]{\sqrt[6]{4^{48}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni radicali passo dopo passo. Simplify the expression with radicals 4^48^(1/6)^(1/4). Simplify \sqrt{4^{48}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{6} and n equals \frac{1}{4}. Simplify \left(4^{48}\right)^{\frac{1}{6}\cdot \frac{1}{4}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 48 and n equals \frac{1}{6}\cdot \frac{1}{4}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=6, c=48, a/b=\frac{1}{6} e ca/b=48\cdot \left(\frac{1}{6}\right)\cdot \left(\frac{1}{4}\right). Applicare la formula: ab=ab, dove ab=48\cdot 1, a=48 e b=1.
Simplify the expression with radicals 4^48^(1/6)^(1/4)
Risposta finale al problema
$16$