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