The ration 4^3.5 : 2⁵ is the same as = ?

14 : 1
22 : 1
31 : 2
41 : 4

Answer:- 1

Explanation:-

Solution:

\begin{aligned} 4^{3.5} : 2^{5} \\ = {(2^{2})}^{3.5} : 2^{5} \\ = 2^{2 \times 3.5} : 2^{5} \\ = 2^{7} : 2^{5} \\ = 2^{2} {.2}^{5} : 2^{5} \\ = 2^{2} : 1 \\ = 4 : 1 \end{aligned}

$\eqalign{ & {4^{3.5}}:{2^5} \cr & = {\left( {{2^2}} \right)^{3.5}}:{2^5} \cr & = {2^{2 \times 3.5}}:{2^5} \cr & = {2^7}:{2^5} \cr & = {2^2}{.2^5}:{2^5} \cr & = {2^2}:1 \cr & = 4:1 \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} 4^{3.5} : 2^{5} \\ = {(2^{2})}^{3.5} : 2^{5} \\ = 2^{2 \times 3.5} : 2^{5} \\ = 2^{7} : 2^{5} \\ = 2^{2} {.2}^{5} : 2^{5} \\ = 2^{2} : 1 \\ = 4 : 1 \end{aligned}

$\eqalign{ & {4^{3.5}}:{2^5} \cr & = {\left( {{2^2}} \right)^{3.5}}:{2^5} \cr & = {2^{2 \times 3.5}}:{2^5} \cr & = {2^7}:{2^5} \cr & = {2^2}{.2^5}:{2^5} \cr & = {2^2}:1 \cr & = 4:1 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }