Esercizio
$\sqrt[5]{x}\cdot\sqrt[5]{x^2}\cdot\sqrt[5]{x^3}\cdot\sqrt[5]{x}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the algebraic expression x^(1/5)x^2^(1/5)x^3^(1/5)x^(1/5). Simplify \sqrt[5]{x^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}{5}. Simplify \sqrt[5]{x^3} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals \frac{1}{5}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove m=\frac{1}{5} e n=\frac{2}{5}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove m=\frac{1}{5}+\frac{2}{5} e n=\frac{3}{5}.
Simplify the algebraic expression x^(1/5)x^2^(1/5)x^3^(1/5)x^(1/5)
Risposta finale al problema
$\sqrt[5]{x^{7}}$