Question 9 - A-Level Maths

9. Given that \(2 ^ { x } = \frac { 1 } { \sqrt { 2 } }\) and \(2 ^ { y } = 4 \sqrt { } 2\),

find the exact value of \(x\) and the exact value of \(y\),
calculate the exact value of \(2 ^ { y - x }\).
[0pt] [P1 January 2002 Question 1]