Math, asked by sakshi2657, 1 month ago

answer the question with explanation​

Attachments:

Answers

Answered by Fast42
1

Answer:

4

Step-by-step explanation:

Turn the roots into fractional powers:

(((729)^1/3)^1/2)^1/4) = 729^(1/24)

I got 1/24 by multiplying all the fractional powers together (3x2x4)

Putting this to the power of 20 gives (729)^(20/24) which can be simplified to 729^(5/6)

At this stage you have to use a calculator to find the result. You can then divide by 162 and add 5/2 to get 4

Answered by avidstha111111
0

Step-by-step explanation:

p =  \sqrt[4]{ \sqrt[2]{ \sqrt[3]{729} } }

 \sqrt[4]{ \sqrt[2]{ \sqrt[3]{9 {}^{3} } } }

p =  \sqrt[4]{ \sqrt[2]{9} }

p =  \sqrt[4]{ \sqrt[2]{ {3}^{2} } }

p =  \sqrt[4]{3}

p =  {3}^{ \frac{1}{4} }

now

 {p}^{20}  \div 162 +  \frac{5}{2}

 ({3}^{ \frac{1}{4} } ) ^{20}  \div 162 +  \frac{5}{2}

 {3}^{5}  \div 162 +  \frac{5}{2}

 \frac{3}{2}  +  \frac{5}{2}

 \frac{8}{2}

4

ans

Similar questions