csat-suneung 2023 Q1

csat-suneung · South-Korea · csat__math 2 marks Indices and Surds Evaluating Expressions Using Index Laws
What is the value of $\left( \frac { 4 } { 2 ^ { \sqrt { 2 } } } \right) ^ { 2 + \sqrt { 2 } }$? [2 points]
(1) $\frac { 1 } { 4 }$
(2) $\frac { 1 } { 2 }$
(3) 1
(4) 2
(5) 4
What is the value of $\left( \frac { 4 } { 2 ^ { \sqrt { 2 } } } \right) ^ { 2 + \sqrt { 2 } }$? [2 points]\\
(1) $\frac { 1 } { 4 }$\\
(2) $\frac { 1 } { 2 }$\\
(3) 1\\
(4) 2\\
(5) 4