Simplify- 5 1614 - 271314

5((2^4)^14+(3^3)^13)^14 ⇒5(2+3)^14 ⇒(5^2)^14 ⇒√(5) ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

simplify: 5...

Question

simplify: ${⎧ ⎪ ⎨ ⎪ ⎩ 5 ⎛ ⎜ ⎝ 16^{\frac{1}{4}} + 27^{\frac{1}{3}} ⎞ ⎟ ⎠ ⎫ ⎪ ⎬ ⎪ ⎭}^{\frac{1}{4}}$

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Solution

${5 ((2^{4})^{\frac{1}{4}} + (3^{3})^{\frac{1}{3}})}^{\frac{1}{4}} \Rightarrow {5 (2 + 3)}^{\frac{1}{4}} \Rightarrow (5^{2})^{\frac{1}{4}} \Rightarrow \sqrt{5}$

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Similar questions

Simplify
$\frac{(0.3)^{\frac{1}{3}} {(\frac{1}{27})}^{\frac{1}{4}} (9)^{\frac{1}{6}} (0.81)^{\frac{2}{3}}}{(0.9)^{\frac{2}{3}} (3)^{- \frac{1}{2}} {(\frac{1}{3})}^{- 2} (243)^{- \frac{1}{4}}}$

Q. Simplify:

{(5 {(8^{1 / 3} + 27^{1 / 3})}^{3})}^{1 / 4}

Q. Simplify :

{[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}

Simplify: $\frac{9^{\frac{1}{3} \times 27^{\frac{1}{2}}}}{3^{\frac{1}{6}} \times 3^{- \frac{2}{3}}}$

Q. Simplify:

{⎡ ⎢ ⎣ 5 ⎡ ⎢ ⎣ 8^{\frac{1}{3}} + 27^{\frac{1}{3}} ⎤ ⎥ ⎦ ⎤ ⎥ ⎦}^{\frac{1}{4}}

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simplify: ⎧⎪⎨⎪⎩5⎛⎜⎝1614+2713⎞⎟⎠⎫⎪⎬⎪⎭14

5((24)14+(33)13)14⇒5(2+3)14⇒(52)14⇒√5

simplify: ${⎧ ⎪ ⎨ ⎪ ⎩ 5 ⎛ ⎜ ⎝ 16^{\frac{1}{4}} + 27^{\frac{1}{3}} ⎞ ⎟ ⎠ ⎫ ⎪ ⎬ ⎪ ⎭}^{\frac{1}{4}}$

${5 ((2^{4})^{\frac{1}{4}} + (3^{3})^{\frac{1}{3}})}^{\frac{1}{4}} \Rightarrow {5 (2 + 3)}^{\frac{1}{4}} \Rightarrow (5^{2})^{\frac{1}{4}} \Rightarrow \sqrt{5}$