Solve 581-3-271-331-4

{ 5(8^1/3+27^1/3)^3 }^1/4 ={ 5(2+3)^3 }^1/4 ={ 5(5)^3 }^1/4 ={ 5^4 }^1/4 =5 ...

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Byju's Answer

Standard IX

Mathematics

Laws of Exponents for Real Numbers

Solve 581/3+2...

Question

Solve ${5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}}^{\frac{1}{4}}$

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Solution

${5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}}^{\frac{1}{4}} = {5 (2 + 3)^{3}}^{\frac{1}{4}} = {5 (5)^{3}}^{\frac{1}{4}} = {5^{4}}^{\frac{1}{4}} = 5$

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Similar questions

Q. Simplify:

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

Write the value of ${5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}}^{\frac{1}{4}}$

Q. Write the value of

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

Evaluate (i) $(1^{3} + 2^{3} + 3^{3})^{\frac{1}{2}}$ (ii) ${[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$ (iii) $\frac{2^{0} + 7^{0}}{5^{0}}$ (iv) ${[(16)^{\frac{1}{2}}]}^{\frac{1}{2}}$

Q. Simplify :

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

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Solve {5(813+2713)3}14

{5(813+2713)3}14={5(2+3)3}14={5(5)3}14={54}14=5

Solve ${5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}}^{\frac{1}{4}}$

${5 (8^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3}}^{\frac{1}{4}} = {5 (2 + 3)^{3}}^{\frac{1}{4}} = {5 (5)^{3}}^{\frac{1}{4}} = {5^{4}}^{\frac{1}{4}} = 5$