Question

Solve the Following (2/11)⁴×(11/3)²×(3/2)³​

Answer 1

Answer:

$(\frac{2}{11})^{4}(\frac{11}{3})^{2}(\frac{3}{2})^{3}=\frac{6}{121}$

Step-by-step explanation:

$(\frac{2}{11})^{4}(\frac{11}{3})^{2}(\frac{3}{2})^{3}$

$=(\frac{2}{11})(\frac{2}{11})(\frac{2}{11})(\frac{2}{11})(\frac{11}{3})(\frac{11}{3})(\frac{3}{2})(\frac{3}{2})(\frac{3}{2})$

⇒ $(\frac{2}{11})(\frac{11}{3})(\frac{3}{2})(\frac{2}{11})(\frac{2}{11})(\frac{2}{11})(\frac{11}{3})(\frac{3}{2})(\frac{3}{2})$

⇒ $(\frac{2}{11})(\frac{2}{11})(\frac{2}{11})(\frac{11}{3})(\frac{3}{2})(\frac{3}{2})$

⇒ $\frac{2(3)}{11(11)}$

⇒ $\frac{6}{121}$

∴ $(\frac{2}{11})^{4}(\frac{11}{3})^{2}(\frac{3}{2})^{3}=\frac{6}{121}$