Question

(1/216)-2/3÷(1/27)-4/3

Answer 1

Hope this would help you!!

Answer 2

Answer: The value of above expression is $\dfrac{12}{27}$

Step-by-step explanation:

Since we have given that

$(\dfrac{1}{216})^{\frac{-2}{3}}\div \dfrac{1}{27}^{\frac{-4}{3}}\\\\216^{\frac{2}{3}}\times 27^{\frac{-4}{3}}\\\\=(6)^{3\times \frac{2}{3}}\times 3^{3\times \frac{-4}{3}}\\\\=6^2\times 3^{-4}\\\\=\dfrac{36}{81}\\\\=\dfrac{12}{27}$

Hence, the value of above expression is $\dfrac{12}{27}$