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If a=(2^(-2)-2^(-3)), b=(2^(-3)-2^(-4)) ...

If `a=(2^(-2)-2^(-3)), b=(2^(-3)-2^(-4))` and `c=(2^(-4)-2^(-2))` then find the value of `a^(3)+b^(3)+c^(3)`.

A

`(-9)/1024`

B

`(-9)/2048`

C

`0`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
(i) `a+b+c=0`
(ii) Express all the terms with same base, i.e., 2.
(iii) Equate the concerned terms and find x, y.
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