OCR MEI C1 — Question 1

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicIndices and Surds

1
  1. Express \(\frac { 81 } { \sqrt { 3 } }\) in the form \(3 ^ { k }\).
  2. Express \(\frac { 5 + \sqrt { 3 } } { 5 - \sqrt { 3 } }\) in the form \(\frac { a + b \sqrt { 3 } } { c }\), where \(a , b\) and \(c\) are integers.
    \(2 \quad\) (i) Simplify \(\left( 5 a ^ { 2 } b \right) ^ { 3 } \times 2 b ^ { 4 }\).
  3. Evaluate \(\left( \frac { 1 } { 16 } \right) ^ { - 1 }\).
  4. Evaluate \(( 16 ) ^ { \frac { 3 } { 2 } }\).