Aptitude - Surds and Indices - Discussion
Discussion Forum : Surds and Indices - General Questions (Q.No. 6)
6.
(256)0.16 x (256)0.09 = ?
Answer: Option
Explanation:
(256)0.16 x (256)0.09 = (256)(0.16 + 0.09)
= (256)0.25
= (256)(25/100)
= (256)(1/4)
= (44)(1/4)
= 44(1/4)
= 41
= 4
Discussion:
16 comments Page 2 of 2.
Swastika said:
8 years ago
Nice explanation. Thanks.
Afroza said:
8 years ago
Thanks all for your explanation.
Geelani said:
6 years ago
256^(0.16+0.09) = 256^0.25.
256^1/4,
16^2^1/4,
16^1/2 = √16 = 4.
Hence Answer 4.
256^1/4,
16^2^1/4,
16^1/2 = √16 = 4.
Hence Answer 4.
Srinish said:
6 years ago
Nice explanation @Prasanthi.
Nini said:
4 years ago
Formula used here (a^n x a^m= a^m+n).
Here (^) denotes power*.
~ 256^0.16 x 256^0.09.
~(2^8)^0.16 x (2^8)^0.09.
~(2)^8*0.16 X (2)^8*0.09 multiplying the powers.
~(2)^1.28 X (2)^0.72.
~2^(1.28 +0.75).
>since a^n x a^m =a^m+n.
~2^2=4.
Here (^) denotes power*.
~ 256^0.16 x 256^0.09.
~(2^8)^0.16 x (2^8)^0.09.
~(2)^8*0.16 X (2)^8*0.09 multiplying the powers.
~(2)^1.28 X (2)^0.72.
~2^(1.28 +0.75).
>since a^n x a^m =a^m+n.
~2^2=4.
Vishakha said:
1 month ago
Yes, I agree that the right answer is 64.
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