Esercizio
$3a\cdot9a\cdot\left(\frac{\sqrt[3]{a^9}}{\sqrt{36a^2}}\right)^2$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the algebraic expression 3a*9a((a^9^(1/3))/((36a^2)^(1/2)))^2. Applicare la formula: ab=ab, dove ab=3\cdot 9a\cdot a\left(\frac{\sqrt[3]{a^9}}{\sqrt{36a^2}}\right)^2, a=3 e b=9. Simplify \sqrt[3]{a^9} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \frac{1}{3}. Applicare la formula: x\cdot x=x^2, dove x=a. Applicare la formula: \left(ab\right)^n=a^nb^n.
Simplify the algebraic expression 3a*9a((a^9^(1/3))/((36a^2)^(1/2)))^2
Risposta finale al problema
$\frac{3}{4}a^{6}$