Esercizio
$\sqrt[3]{a^4b^2}\cdot\sqrt[3]{a^2b^2}\cdot\sqrt[3]{b^2}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni equivalenti passo dopo passo. (a^4b^2)^(1/3)(a^2b^2)^(1/3)b^2^(1/3). Simplify \sqrt[3]{b^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=a, m=\frac{4}{3} e n=\frac{2}{3}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=b, m=\frac{2}{3} e n=\frac{2}{3}.
(a^4b^2)^(1/3)(a^2b^2)^(1/3)b^2^(1/3)
Risposta finale al problema
$a^{2}b^{2}$