Esercizio
$\left(\:\sqrt[8]{64}\:\right)^4$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the expression with radicals 64^(1/8)^4. Simplify \left(\sqrt[8]{64}\right)^4 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{8} and n equals 4. Applicare la formula: x^a=pfgmin\left(x\right)^a, dove a=\frac{1}{2} e x=64. Applicare la formula: \left(a^n\right)^m=\left(a^{\left(n-1\right)}a\right)^m, dove a^n=2^{6}, a=2, a^n^m=\sqrt{2^{6}}, m=\frac{1}{2} e n=6. Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=2^{5}, b=2 e n=\frac{1}{2}.
Simplify the expression with radicals 64^(1/8)^4
Risposta finale al problema
$8$