| Directions: What approximate value should come in place of the question mark? in the following questions? |
| [SBI (PO) 2015] |
| \[{{(8)}^{0.75}}\times {{(4096)}^{0.25}}\div {{(64)}^{-1}}={{(8)}^{?}}\] |
A) 2.25
B) 3.0
C) 3.25
D) 3.50
E) 3.75
Correct Answer: E
Solution :
| \[\frac{{{(8)}^{0.75}}\times {{(4096)}^{0.25}}}{{{(64)}^{-1}}}={{8}^{?}}\]\[\Rightarrow \]\[\frac{{{8}^{0.75}}\times {{({{8}^{4}})}^{0.25}}}{{{8}^{-2}}}={{8}^{?}}\] |
| \[\Rightarrow \] \[{{8}^{1.75\,+\,2}}={{8}^{?}}\]\[\Rightarrow \]\[?=3.75\] |
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