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(256)^0.16 x (256)^0.09 = ?

14
216
364
4256.25

Answer:- 1

Explanation:-

Solution:

(256)^0.16 x (256)^0.09 = (256)^{(0.16 + 0.09)}

\begin{aligned} = {(256)}^{0.25} \\ = {(256)}^{\frac{25}{100}} \\ = {(256)}^{\frac{1}{4}} \\ = {(4^{4})}^{\frac{1}{4}} \\ = 4^{1} \\ = 4 \end{aligned}

$\eqalign{ & = {\left( {256} \right)^{0.25}} \cr & = {\left( {256} \right)^{\frac{{25}}{{100}}}} \cr & = {\left( {256} \right)^{\frac{1}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{1}{4}}} \cr & = {4^1} \cr & = 4 \cr}$

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

Solution:

(256)^0.16 x (256)^0.09 = (256)^{(0.16 + 0.09)}

\begin{aligned} = {(256)}^{0.25} \\ = {(256)}^{\frac{25}{100}} \\ = {(256)}^{\frac{1}{4}} \\ = {(4^{4})}^{\frac{1}{4}} \\ = 4^{1} \\ = 4 \end{aligned}

$\eqalign{ & = {\left( {256} \right)^{0.25}} \cr & = {\left( {256} \right)^{\frac{{25}}{{100}}}} \cr & = {\left( {256} \right)^{\frac{1}{4}}} \cr & = {\left( {{4^4}} \right)^{\frac{1}{4}}} \cr & = {4^1} \cr & = 4 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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