MCQ
If $2^n=1024$, then $2^{\left(\frac{n}{2}+2\right)}=$
- A$64$
- ✓$128$
- C$256$
- D$512$
✓
Answer
Correct option: B.
$128$
As, $2^n=1024$
$\Rightarrow 2^n=2^{10}$
Comparing the exponent of both the sides, we get:
$n = 10$
Now,
$2^{\Big(\frac{\text{n}}{2}+2\Big)}$
$=2^{\Big(\frac{\text{10}}{2}+2\Big)}$
$=2^{(5+2)}$
$=2^7$
$=128$
Hence, the correct alternative is option $(b).$
$\Rightarrow 2^n=2^{10}$
Comparing the exponent of both the sides, we get:
$n = 10$
Now,
$2^{\Big(\frac{\text{n}}{2}+2\Big)}$
$=2^{\Big(\frac{\text{10}}{2}+2\Big)}$
$=2^{(5+2)}$
$=2^7$
$=128$
Hence, the correct alternative is option $(b).$
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