If a ≠ 0, is a^b 1?

Question

If a ≠ 0, is a^b > 1?
 
(1) b = 0
(2) a < 1

Luckisnoexcuse · Answer

(1) Gives clear answer that any number to the power 0 is 1 hence sufficient.

(2) If a <1 .

Assume A to be (1/2) and b to be 2 then on solving it gives 1/4
However If A is 1/2 and b is -2 then on solving it gives 4

Contradictory answers hence not sufficient

Hence A

Please correct me if i am wrong

shashankism · Answer

1. b = 0 So, a^b = a^0 = 1 is not > 1.. So SUFFICIENT 2. a< 1 For 01.. NOT SUFFICIENT. Correct option A.

ydmuley · Answer

a^b >1?

(1) b = 0

As we know that a!=0

Any number raised to zero will be zero.

So, (1) is sufficient to answer the question is a^b > 1

(2) a<1

From this we statement we do not know the value of b.

Hence, we can have answer to the above question as YES and NO.