Esercizio
$\left(\sqrt[4]{81}\right)^6$
Soluzione passo-passo
Impara online a risolvere i problemi di semplificazione di espressioni algebriche passo dopo passo. Simplify the expression with radicals 81^(1/4)^6. Simplify \left(\sqrt[4]{81}\right)^6 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 6. Applicare la formula: x^a=pfgmin\left(x\right)^a, dove a=\frac{3}{2} e x=81. Applicare la formula: \left(a^n\right)^m=\left(a^{\left(n-1\right)}a\right)^m, dove a^n=3^{4}, a=3, a^n^m=\sqrt{\left(3^{4}\right)^{3}}, m=\frac{3}{2} e n=4. Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=3^{3}, b=3 e n=\frac{3}{2}.
Simplify the expression with radicals 81^(1/4)^6
Risposta finale al problema
$729$