the value of 2 1 2 3 3 4 4 10, Latest Questions, General Mathematics

Question:The value of` (2^(1/2) . 3^(1/3) . 4^(1/4))/(10^(-1/5) . 5^(3/5)) -: 3^(4/3 . 5^(-7/5))/(4^(-3/5) . 6)` is :

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+ AnswerC

+ ExplanationGiven Exp.` (2^(1/2) xx 3^(1/3) xx (2^2)^(1/4))/(2^(-1/5) xx 5^(-1/5) xx 5^(3/5)) -: 

(3^(4/3) xx 5^(-7/5))/((2^2)^(-3/5) xx 2 xx 3)`

`= (2^(1/2) xx 3^(1/3) xx 2^(1/2))/(2^(-1/5) xx 5^(-1/5) xx 5^(3/5) xx (2^(-6/5) xx 2 xx 3)/(3^(4/3) xx 5^(-7/5))`

`= (2^((1/2 + 1/2 - 5/6 + 1/5 + 1)) xx 3^((1/3 + 1 - 4/3)))/(5^(- 1/5 + 3/5 - 7/5))`

`= (2 xx 3^0)/(5^(-1)`

`= 2 xx 1 xx 5 = 10`

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Question:The value of` (2^(1/2) . 3^(1/3) . 4^(1/4))/(10^(-1/5) . 5^(3/5)) -: 3^(4/3 . 5^(-7/5))/(4^(-3/5) . 6)` is :

A 5

B 6

C 10

D 15

C