The value of 27−23 lies between = ?The value of 27−23 lies between = ?\eqalign{ & {\text{The value of }} \cr & {\text{2}}{{\text{7}}^{ - \frac{2}{3}}}{\text{ lies between = ?}} \cr} " /> The value of 27−23 lies between = ?The value of 27−23 lies between = ?\eqalign{ & {\text{The value of }} \cr & {\text{2}}{{\text{7}}^{ - \frac{2}{3}}}{\text{ lies between = ?}} \cr} " /> The value of 27−23 lies between = ?The value of 27−23 lies between = ?\eqalign{ & {\text{The value of }} \cr & {\text{2}}{{\text{7}}^{ - \frac{2}{3}}}{\text{ lies between = ?}} \cr} " />

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$\begin{aligned} The value of \\ 2 7^{- \frac{2}{3}} lies between = ? \end{aligned}$ $\eqalign{ & {\text{The value of }} \cr & {\text{2}}{{\text{7}}^{ - \frac{2}{3}}}{\text{ lies between = ?}} \cr}$

10 and 1
21 and 2
32 and 3
43 and 4

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 2 7^{- \frac{2}{3}} \\ = {(3^{3})}^{- \frac{2}{3}} \\ = 3^{[3 \times (- \frac{2}{3})]} \\ = 3^{- 2} \\ = \frac{1}{3^{2}} \\ = \frac{1}{9} \end{aligned}

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", "text": "

\begin{aligned} The value of \\ 2 7^{- \frac{2}{3}} lies between  =  ? \end{aligned}

$\eqalign{ & {\text{The value of }} \cr & {\text{2}}{{\text{7}}^{ - \frac{2}{3}}}{\text{ lies between = ?}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 2 7^{- \frac{2}{3}} \\ = {(3^{3})}^{- \frac{2}{3}} \\ = 3^{[3 \times (- \frac{2}{3})]} \\ = 3^{- 2} \\ = \frac{1}{3^{2}} \\ = \frac{1}{9} \end{aligned}

$\eqalign{ & {\text{ 2}}{{\text{7}}^{ - \frac{2}{3}}} \cr & = {\left( {{3^3}} \right)^{ - \frac{2}{3}}} \cr & = {3^{\left[ {3 \times \left( { - \frac{2}{3}} \right)} \right]}} \cr & = {3^{ - 2}} \cr & = \frac{1}{{{3^2}}} \cr & = \frac{1}{9} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: