Question

Find the simplified value of
$( {81})^{ \frac{1}{4} } \times \sqrt[4]{81} \times {81}^{0.5}$
​

Answer 1

Step-by-step explanation:

Hope you can now solve this problem.

Answer 2

Answer:

$\rightsquigarrow\sf\blue{Question : - }$

$\blue \rightsquigarrow \sf{81^{ \frac{1}{4} } \times \sqrt[4]{81} \times {81}^{0.5} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\rightsquigarrow\sf\blue{Solution: - }$

$\blue \rightsquigarrow \sf{81^{ \frac{1}{4} } \times \sqrt[4]{81} \times {81}^{0.5} }$

$\rightsquigarrow\sf\blue{Do \: Prime \: Factorisation \: of \: 81}$

$\blue \rightsquigarrow \sf{(3 \times 3 \times 3 \times 3)^{ \frac{1}{4} } \times \sqrt[4]{3 \times 3 \times 3 \times 3} \times {81}^{0.5} }$

$\blue \rightsquigarrow \sf{ {3}^{ \cancel4 \times \frac{1}{ \cancel4} } \times \sqrt[ \cancel4]{ {3}^{ \cancel4} } \times {81}^{\frac{ \cancel5}{ \cancel10} } }$

$\blue \rightsquigarrow \sf{ 3 \times 3 \times \:( 9 \times 9)^{ \frac{1}{2} } }$

$\blue \rightsquigarrow \sf{ 3 \times 3 \times {9}^{ \cancel2 \times \frac{1}{ \cancel2} } }$

$\blue \rightsquigarrow \sf{ 3 \times 3 \times 9 }$

$\blue \rightsquigarrow \sf{ 81}$

$\rightsquigarrow\sf\blue{Simplified \: Form \: is \: 81}$