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The value of 2(256)-1/8 is
  • a)
    1
  • b)
    2
  • c)
    1/2
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The value of 2(256)-1/8isa)1b)2c)1/2d)none of theseCorrect answer is o...
Calculation of the Value of 2(256)-1/8

Given,

2(256)-1/8

We can simplify this expression using the exponent laws as follows:

2(256)-1/8 = 2(256 * -1/8)

= 2(-32)

= 1/2^32

= 1/(2^5)^6

= 1/2^30

= 1/1073741824

Therefore, the value of 2(256)-1/8 is 1/1073741824.

Answer: (A) 1
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Community Answer
The value of 2(256)-1/8isa)1b)2c)1/2d)none of theseCorrect answer is o...
2*(256)^(-1/8) (256 to the power -1/8)

=2x (2^8)^(-1/8). (2 to the power 8 whole to the power -1/8)

=2 x 1/(2^8)^(1/8). (1/2 to the power 8 whole to the power 1/8)

=2 x 1/2^(8x1/8). (1/2 to the power 8x1/8)

=2 x 1/2

=1
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The value of 2(256)-1/8isa)1b)2c)1/2d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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