If |x|1, is x^(1/a)x^(1/b)? 1) a/b1 2) a+b

Question

If  |x|>1 , is  x^{\frac{1}{a}}>x^{\frac{1}{b}} ?

(1)  \frac{a}{b}>1

(2)  a+b<0

BelalHossain046 · Answer

Combining:
a=-3 & b=-1 suffice both statements. 
If x=8, x^(a/b)>x^(a/b)
If x=-8, x^(a/b)<x^(a/b)

My answer is E

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AN12 · Answer

I will go with A. As question asks whether 1/a>1/b ? (As same base of exponents) Or b/a >1 ?

Stmnt 1 itself says a/b >1. So this is sufficient.
Stmnt 2 doesn’t give info to find value of b/a.

Experts answers please...

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BelalHossain046 · Answer

b/a>1 is true if the base is positive 
What would be the case if base is negative.
According to the question, base can be 3,4,-3,-4 etc.

Drb89 · Answer

Assume, two combinations for a, b & x

1. a=0.5 & b=0.25 , X=+ve ----> then eqn becomes, x^(1/a) < x^(1/b)
2. a=-4 & b=-3 , X=-ve ----> now eqn becomes, x^(1/a) > x^(1/b)

Hence insufficient

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If |x|>1, is x^(1/a)>x^(1/b)? 1) a/b>1 2) a+b<0

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