Math, asked by sheelachannakeshava, 1 year ago

(64/125)∧-2/3 +(625/256)∧1/4 +√253/ 3√64

Answers

Answered by pavan238
0

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Answered by DaIncredible
2
Hey friend,
Here is the answer you were looking for:
 {( \frac{64}{125} )}^{ -  \frac{2}{3} }  +  {( \frac{625}{256} )}^{ \frac{1}{4} }  +  \frac{ \sqrt{253} }{3 \sqrt{64} }  \\

We can also write it as :

 =  {( \frac{4}{5} )}^{ 3 \times  -  \frac{2}{3} }  +  {( \frac{5}{4} )}^{4 \times  \frac{1}{4} }  +  \frac{ \sqrt{253} }{3 \sqrt{8 \times 8} }  \\  \\  =  {( \frac{4}{5} )}^{ - 2}  +  {( \frac{5}{4} )}^{1}  +  \frac{ \sqrt{253} }{3 \times 8}  \\  \\  =  {( \frac{5}{4} )}^{2}  +  \frac{5}{4}  +  \frac{ \sqrt{253} }{24}  \\  \\  =  \frac{25}{16}  +  \frac{5}{4}  +  \frac{ \sqrt{253} }{24}  \\  \\  =  \frac{25 \times 3 + 5 \times 12 +  \sqrt{253}  \times 2}{48}  \\  \\  =  \frac{75 + 60 + 2 \sqrt{253} }{48}  \\  \\  =  \frac{135 + 2 \sqrt{253} }{48}

Hope this helps!!

If you have any doubt regarding to my answer, feel free to ask in the comment section or inbox me if needed.

@Mahak24

Thanks...
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