Esercizio
$\left(\sqrt[3]{\sqrt[6]{a^9}}\right)^8\:.\:\left(\sqrt[3]{\sqrt[6]{a^9}}\right)^8$
Soluzione passo-passo
Impara online a risolvere i problemi di moltiplicare potenze della stessa base passo dopo passo. Simplify the product of powers a^9^(1/6)^(1/3)^8a^9^(1/6)^(1/3)^8. Simplify \left(\sqrt{a^9}}\right)^8 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals 8. Simplify \sqrt{a^9}\right)^{8}} 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{8}{3}. Simplify \left(a^9\right)^{\frac{1}{6}\cdot \frac{8}{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \frac{1}{6}\cdot \frac{8}{3}. Simplify \left(\sqrt{a^9}}\right)^8 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{3} and n equals 8.
Simplify the product of powers a^9^(1/6)^(1/3)^8a^9^(1/6)^(1/3)^8
Risposta finale al problema
$a^{3}$