Which of the two is smaller -5 1-3 or 6 1-4 -

The correct option is B Take a common power. 12 is the LCM of 3 and 4. So [5^1/3]^12 and [6^1/4]^12 This gives 5^4= 625 and 6^3= 216. Therefore 5^1/3 gt; 6 ...

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Quantitative Aptitude

HCF and LCM

Which of the ...

Question

Which of the two is smaller - $5^{\frac{1}{3}}$ or $6^{\frac{1}{4}}$ ?

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both are equal

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cannot be determined

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Solution

The correct option is B

Take a common power. 12 is the LCM of 3 and 4.

So $[5^{\frac{1}{3}}]^{12}$ and $[6^{\frac{1}{4}}]^{12}$

This gives $5^{4} = 625$ and $6^{3} = 216.$ Therefore $5^{\frac{1}{3}}$ > $6^{\frac{1}{4}}$ .

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Similar questions

An irrational number between $\sqrt{2} a n d \sqrt{3}$ is

(a) $(\sqrt{2} + \sqrt{3})$

(b) $\sqrt{2} \times \sqrt{3}$

(d) $6^{\frac{1}{4}}$

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51^{456} \times 61^{567}

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\frac{3}{8}

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Q. Simplify:
(i)

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(ii)

2^{5 / 8} \times 3^{5 / 8}

(iii)

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(x-2) + 4 < 10 and represent its solution on a number line. Given replacement set is {-8, -2, 9, 11, 12}

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Which of the two is smaller - 513 or 614?

The correct option is B Take a common power. 12 is the LCM of 3 and 4. So [513]12 and [614]12 This gives 54=625 and 63=216. Therefore 513 > 614.

Which of the two is smaller - $5^{\frac{1}{3}}$ or $6^{\frac{1}{4}}$ ?

The correct option is B

Take a common power. 12 is the LCM of 3 and 4.

So $[5^{\frac{1}{3}}]^{12}$ and $[6^{\frac{1}{4}}]^{12}$

This gives $5^{4} = 625$ and $6^{3} = 216.$ Therefore $5^{\frac{1}{3}}$ > $6^{\frac{1}{4}}$ .