Esercizio
$\left(5\sqrt{6xy}^3\right)\left(\sqrt{3xy}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. 5(6xy)^(1/2)^3(3xy)^(1/2). Simplify \left(\sqrt{6xy}\right)^3 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 3. Applicare la formula: \left(ab\right)^n=a^nb^n. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove m=\frac{3}{2} e n=\frac{1}{2}. Applicare la formula: x^mx^n=x^{\left(m+n\right)}, dove x=y, m=\frac{3}{2} e n=\frac{1}{2}.
5(6xy)^(1/2)^3(3xy)^(1/2)
Risposta finale al problema
$5\sqrt{\left(6\right)^{3}}\sqrt{3}x^{2}y^{2}$