The value of(256)54 is = ?The value of(256)54 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {256} \right)^{\frac{5}{4}}}{\text{ is = ?}} \cr} " /> The value of(256)54 is = ?The value of(256)54 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {256} \right)^{\frac{5}{4}}}{\text{ is = ?}} \cr} " /> The value of(256)54 is = ?The value of(256)54 is = ?\eqalign{ & {\text{The value of}} \cr & {\left( {256} \right)^{\frac{5}{4}}}{\text{ is = ?}} \cr} " />

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$\begin{aligned} The value of \\ {(256)}^{\frac{5}{4}} is = ? \end{aligned}$ $\eqalign{ & {\text{The value of}} \cr & {\left( {256} \right)^{\frac{5}{4}}}{\text{ is = ?}} \cr}$

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Answer:- 1

Explanation:-

Solution:

\begin{aligned} {(256)}^{\frac{5}{4}} \\ = {(4^{4})}^{\frac{5}{4}} \\ = 4^{(4 \times \frac{5}{4})} \\ = 4^{5} \\ = 1024 \end{aligned}

$\eqalign{ & {\left( {256} \right)^{\frac{5}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{5}{4}}} \cr & = {4^{\left( {4 \times \frac{5}{4}} \right)}} \cr & = {4^5} \cr & = 1024 \cr}$

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", "text": "

\begin{aligned} The value of \\ {(256)}^{\frac{5}{4}} is  =  ? \end{aligned}

$\eqalign{ & {\text{The value of}} \cr & {\left( {256} \right)^{\frac{5}{4}}}{\text{ is = ?}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} {(256)}^{\frac{5}{4}} \\ = {(4^{4})}^{\frac{5}{4}} \\ = 4^{(4 \times \frac{5}{4})} \\ = 4^{5} \\ = 1024 \end{aligned}

$\eqalign{ & {\left( {256} \right)^{\frac{5}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{5}{4}}} \cr & = {4^{\left( {4 \times \frac{5}{4}} \right)}} \cr & = {4^5} \cr & = 1024 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: