The value of514×(125)0.25 is = ?The value of514×(125)0.25 is = ?\eqalign{ & {\text{The value of}} \cr & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}{\text{ is = ?}} \cr} " /> The value of514×(125)0.25 is = ?The value of514×(125)0.25 is = ?\eqalign{ & {\text{The value of}} \cr & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}{\text{ is = ?}} \cr} " /> The value of514×(125)0.25 is = ?The value of514×(125)0.25 is = ?\eqalign{ & {\text{The value of}} \cr & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}{\text{ is = ?}} \cr} " />

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$\begin{aligned} The value of \\ 5^{\frac{1}{4}} \times {(125)}^{0.25} is = ? \end{aligned}$ $\eqalign{ & {\text{The value of}} \cr & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}{\text{ is = ?}} \cr}$

1√5
25
35√5
425

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 5^{\frac{1}{4}} \times {(125)}^{0.25} \\ = 5^{0.25} \times {(5^{3})}^{0.25} \\ = 5^{0.25} \times 5^{(3 \times 0.25)} \\ = 5^{0.25} \times 5^{0.75} \\ = 5^{(0.25 + 0.75)} \\ = 5^{1} \\ = 5 \end{aligned}

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", "text": "

\begin{aligned} The value of \\ 5^{\frac{1}{4}} \times {(125)}^{0.25} is  =  ? \end{aligned}

$\eqalign{ & {\text{The value of}} \cr & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}{\text{ is = ?}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 5^{\frac{1}{4}} \times {(125)}^{0.25} \\ = 5^{0.25} \times {(5^{3})}^{0.25} \\ = 5^{0.25} \times 5^{(3 \times 0.25)} \\ = 5^{0.25} \times 5^{0.75} \\ = 5^{(0.25 + 0.75)} \\ = 5^{1} \\ = 5 \end{aligned}

$\eqalign{ & {{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}} \cr & = {5^{0.25}} \times {\left( {{5^3}} \right)^{0.25}} \cr & = {5^{0.25}} \times {5^{\left( {3 \times 0.25} \right)}} \cr & = {5^{0.25}} \times {5^{0.75}} \cr & = {5^{\left( {0.25 + 0.75} \right)}} \cr & = {5^1} \cr & = 5 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: