Esercizio
$\sqrt{1+\frac{1}{16\sqrt{x^3}}+\frac{1}{16\sqrt{x^5}}+\frac{-\frac{1}{8}}{8x^2}}$
Soluzione passo-passo
Impara online a risolvere i problemi di limiti per sostituzione diretta passo dopo passo. (1+1/(16x^3^(1/2))1/(16x^5^(1/2))(-1/8)/(8x^2))^(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}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=2, c=3, a/b=\frac{1}{2} e ca/b=3\cdot \left(\frac{1}{2}\right). Simplify \sqrt{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}{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}.
(1+1/(16x^3^(1/2))1/(16x^5^(1/2))(-1/8)/(8x^2))^(1/2)
Risposta finale al problema
$\sqrt{1+\frac{1}{16\sqrt{x^{3}}}+\frac{1}{16\sqrt{x^{5}}}+\frac{-1}{64x^2}}$