德望學校 – S2數學 2B Chapter 8 Laws of Integral Indices – CQ (11-16)

試卷答案:

1. x = 1
2. a) b
   b) 2n³/m¹⁴
3. \(\dfrac{4}{a^{6}b^{2}}\)
4. a) \(30\sqrt{6}+72\)
   b) n = -3
5. \(\dfrac{a|{9}}{8b^{7}}\)
6. 190625
7. \(6.05 \times 10^{6}\)
8. a) -\(\dfrac{9}{a^{8}b^{10}}\)
   b) \(2^{6-8n}\)
9. x = -2, y = -3/2
10. a) x = 8/3
    b) 1/a¹¹
11. \(4 \times 10^{-2013}\)
12. \(\dfrac{3}{200x^{2}}\)
13. n = 2
14. a) 8/a²
    b) n = -1/4
15. \(5.24 \times 10^{5}\)
16. n = 2
17. \(\dfrac{a^{8}b^{22}}{9}\)
18. \(\dfrac{81b^{8}}{16a^{8}}\)
19. \(\dfrac{2401x^{8}}{256y^{24}}\)
20. \(\dfrac{a^{6}}{b^{12}}\)
21. 12/b⁵
22. \(6.03 \times 10^{2015}\)
23. x = -1
24. \(\dfrac{b^{19}}{a^{23}}\)

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