The ascending order of the numbers 3^{1/3} , 5^{1/4} , 7^{1/5} is

Correct Answer is : 313,715,514

AP ICET 2019 Shift 2 Paper

Question : 88 of 200

Marks: +1, -0

The ascending order of the numbers

3^{1/3} , 5^{1/4} , 7^{1/5}

Solution:

Comparing

3^{1{/}3}

and

5^{1{/}4}

We get

(81)^{1{/}12} < (125)^{1{/}12}

Comparing

5^{1{/}4}

and

7^{1{/}4}

We get

(3125)^{1{/}20} > (2401)^{1{/}20}

Comparing

3^{1{/}3}

and

7^{1{/}5}

We get

(243)^{1{/}15} < (343)^{1{/}15}

The ascending order is

3^{1{/}3} < 7^{1{/}5} < 5^{1{/}4}

Go to Question:

Prev Question

Next Question