Indian Institute of Foreign Trade 2015 Solved Paper

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Question : 21 of 124

Marks: +1, -0

The simplest value of the expression

\{ { 4 ^ { \p + { 1 } /{ 4 } } × √ { 2 × 2 ^ { \p } } }/ { 2 × √ { 2 ^ { - \p } } } \} ^ { 1 / \p }

is:

4
8
4 $^\p$
8 $^\p$

Solution:

(b)

\{ { 4 ^ { \p + { 1 } /{ 4 } } × √ { 2 × 2 ^ { \p } } }/ { 2 × √ { 2 ^ { - \p } } } \} ^ { 1 / \p }

= \{ { 2 ^ { 2 { \p } } × 2 ^ { 1 / 2 } ×2 ^ { 1 / 2 }×2 ^ { { \p } / 2 } } /{ 2 × 2 ^ { - \p / 2 } } \} ^ { 1 / { \p } }

= \{ 2 ^ { 3 { \p} } \} ^{{ 1 } / { \p } }= 2 ^ { 3 } = 8

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