Question

1/(216)^-2/3÷ 1/(27)^-4/3​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\bf \underline{Solution-}$

$\textsf{Given fractional expression,}$

$\sf{ \bigg( \frac{1}{216} \bigg) ^{ - \frac{2}{3} } \div \bigg( \frac{1}{27} \bigg)^{ - \frac{4}{3} } }$

$\sf{ \Rightarrow \: (216 {)}^{ \frac{2}{3} } \div (27 {)}^{ \frac{4}{3} } }$

$\sf{ \Rightarrow \: ( {6}^{3} {)}^{ \frac{2}{3} } \div ( {3}^{3} {)}^{ \frac{4}{3} } }$

$\sf{ \Rightarrow \: {6}^{ \cancel3 \times \frac{2}{ \cancel3} } \div {3}^{ \cancel3 \times \frac{4}{ \cancel3} } }$

$\sf{ \Rightarrow \: {6}^{2} \div {3}^{4} }$

$\sf{ \Rightarrow \: 6 \times 6 \div 3 \times 3 \times 3 \times 3}$

$\sf{ \Rightarrow \: 36 \div 81}$

$\sf{ \Rightarrow \: \frac{36}{81} }$