Esercizio
$\sqrt{\sqrt{x^{12}y^{8}\sqrt{x^{2}y}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. (x^12y^8(x^2y)^(1/2))^(1/2)^(1/2). Simplify \sqrt{\sqrt{x^{12}y^8\sqrt{x^2y}}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals \frac{1}{2}. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=y, m=8 e n=\frac{1}{2}. Applicare la formula: \frac{a}{b}+c=\frac{a+cb}{b}, dove a/b+c=8+\frac{1}{2}, a=1, b=2, c=8 e a/b=\frac{1}{2}.
(x^12y^8(x^2y)^(1/2))^(1/2)^(1/2)
Risposta finale al problema
$\sqrt[4]{x^{13}}\sqrt[8]{y^{17}}$