Esercizio
$\frac{\sqrt{x}}{\sqrt[4]{x}}\cdot\frac{\sqrt[4]{x^5}}{\sqrt{x^3}}$
Soluzione passo-passo
Impara online a risolvere i problemi di fattorizzazione passo dopo passo. (x^(1/2))/(x^(1/4))(x^5^(1/4))/(x^3^(1/2)). Simplify \sqrt{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}{2}. Simplify \sqrt[4]{x^5} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 and n equals \frac{1}{4}. Applicare la formula: \frac{a^m}{a^n}=a^{\left(m-n\right)}, dove a^n=\sqrt[4]{x}, a^m=\sqrt{x}, a=x, a^m/a^n=\frac{\sqrt{x}}{\sqrt[4]{x}}, m=\frac{1}{2} e n=\frac{1}{4}. Applicare la formula: \frac{a^m}{a^n}=\frac{1}{a^{\left(n-m\right)}}, dove a=x, m=\frac{5}{4} e n=\frac{3}{2}.
(x^(1/2))/(x^(1/4))(x^5^(1/4))/(x^3^(1/2))
Risposta finale al problema
$1$