Laws of Indices – Further Maths
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Question 1 of 45
1. Question
Simplify x^3 × x^2
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Question 2 of 45
2. Question
Simplify x^{-4} × x^{-6}
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Question 3 of 45
3. Question
Simplify x^6 ÷ x^2
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Question 4 of 45
4. Question
Simplify x^{1/2} × x^{1/5}
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Question 5 of 45
5. Question
Simplify x^6 ÷ x^{-8}
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Question 6 of 45
6. Question
Simplify x^{5/8} ÷ x^{1/2}
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Question 7 of 45
7. Question
Simplify (x^2)^5
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Question 8 of 45
8. Question
Simplify (x^3)^{-5}
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Question 9 of 45
9. Question
Simplify (x^{1/3})^{1/3}
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Question 10 of 45
10. Question
Simplify 1/x^4
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Question 11 of 45
11. Question
Simplify 1/x^{-5}
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Question 12 of 45
12. Question
Simplify ∛(x^9)
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Question 13 of 45
13. Question
Simplify ∛(x^{-6})
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Question 14 of 45
14. Question
Simplify √(x^{1/5})
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Question 15 of 45
15. Question
Simplify ∛(x^{4/5})
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Question 16 of 45
16. Question
Simplify 2x^9 × 4x^2
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Question 17 of 45
17. Question
Simplify 2x^{-7} × 6x
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Question 18 of 45
18. Question
Simplify 8x^{1/4} × 6x^{1/4}
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Question 19 of 45
19. Question
Simplify 7x^6 ÷ 4x^2
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Question 20 of 45
20. Question
Simplify 8x^{-6} ÷ 2x^2
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Question 21 of 45
21. Question
Simplify 5x^{2/9} ÷ 3x^{1/9}
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Question 22 of 45
22. Question
Simplify (3x^5)^2
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Question 23 of 45
23. Question
Simplify (2x^5 )^{-3}
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Question 24 of 45
24. Question
Simplify (1/2x^8 )^2
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Question 25 of 45
25. Question
Simplify 6/x^7
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Question 26 of 45
26. Question
Simplify -5/x^{-6}
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Question 27 of 45
27. Question
Simplify ∛(27x^5)
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Question 28 of 45
28. Question
Simplify ∛(125x^8)
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Question 29 of 45
29. Question
Simplify √(16x^{-6})
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Question 30 of 45
30. Question
Simplify √(9x^{-4})
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Question 31 of 45
31. Question
Simplify 4x^7 × 2x^4 × 2x^6
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Question 32 of 45
32. Question
Simplify 7x^{-4} × -4x^{-2} × 3x^2
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Question 33 of 45
33. Question
Simplify 6x^{1/4} × 2x^{5/6} × 5x^{2/3}
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Question 34 of 45
34. Question
Simplify 8x^6 ÷ 5x^3 ÷ 2x^2
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Question 35 of 45
35. Question
Simplify 8x^8 ÷ 5x^{-6} ÷ 2x^{-2}
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Question 36 of 45
36. Question
Simplify 6x^{7/8} ÷ 6x^{3/8} ÷ 7x^{1/8}
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Question 37 of 45
37. Question
Simplify (2x^8×4x^2)/(4x^5)
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Question 38 of 45
38. Question
Simplify (-5x^3×x^{-1})/(7x^{-6})
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Question 39 of 45
39. Question
Simplify (4x^{3/5}×3x^{1/2})/(2x^{1/8})
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Question 40 of 45
40. Question
Simplify (2x^7+2x^9)/4x
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Question 41 of 45
41. Question
Simplify (-7x^{-8}-7x^{-3})/(-x^4)
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Question 42 of 45
42. Question
Simplify (5x^{5/8}+2x^{3/4})/(8x^{1/3})
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Question 43 of 45
43. Question
Simplify (x^{1/8} × x^{1/3})^{2/3}
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Question 44 of 45
44. Question
Simplify (x^{3/8} ÷ x^{1/8})^{4/5}
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Question 45 of 45
45. Question
Simplify √(x^{4/5} × x^{3/4})
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