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# Powers and surds

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### Powers and surds

1. 1. Powers and Surds
2. 2. What is the value of 2³
3. 3. What is the value of 17 0
4. 4. What is the value of 176283 1
5. 5. 2 3 x2 11 =2 ?
6. 6. 3 13 ÷3 9 =3 ?
7. 7. What is 7 -1 <ul><li>A 6 </li></ul><ul><li>B 1/7 </li></ul><ul><li>C 7 </li></ul>
8. 8. What is 16 ½
9. 9. What is 9 -½ <ul><li>A -3 </li></ul><ul><li>B -1/3 </li></ul><ul><li>C 1/3 </li></ul>
10. 10. What is 16 ¾
11. 11. What is 27 -2/3 <ul><li>A 1/9 </li></ul><ul><li>B -9 </li></ul><ul><li>C 9 </li></ul>
12. 12. What is (16/9) 1/2 <ul><li>A 8/4.5 </li></ul><ul><li>B 4/3 </li></ul><ul><li>C 16/3 </li></ul>
13. 13. What is (625/256) ¾ <ul><li>A 5/4 </li></ul><ul><li>B 125/64 </li></ul><ul><li>C 125/4 </li></ul><ul><li>D 5/64 </li></ul>
14. 14. What is (8/27) -2/3 <ul><li>A 16/81 </li></ul><ul><li>B 81/16 </li></ul><ul><li>C 2/3 </li></ul><ul><li>D 3/2 </li></ul><ul><li>E 9/4 </li></ul>
15. 15. What is √3 x √3
16. 16. What is √12 x √3
17. 17. Simplify √24 <ul><li>A 2 √2 </li></ul><ul><li>B 4 √6 </li></ul><ul><li>C 2 √6 </li></ul>
18. 18. Simplify 5 √10 x 3 √3 <ul><li>A 15 √30 </li></ul><ul><li>B 8 √13 </li></ul><ul><li>C 450 </li></ul>
19. 19. What is 3 √8 x 2 √2
20. 20. Rationalise the denominator of 1/ √7 <ul><li>A √7 </li></ul><ul><li>B √7/7 </li></ul><ul><li>C 7√7 </li></ul><ul><li>D 7 </li></ul>
21. 21. Rationalise 9/√3 <ul><li>A 3√3 </li></ul><ul><li>B √3 </li></ul><ul><li>C 3 </li></ul>
22. 22. Expand the brackets (2+ √3)(2- √3)
23. 23. Expand the brackets (8 + 2√5)(4 - √5)