Potenssit ja neliöjuuri – 30 kysymyksen testi

Valitse yksi vastaus jokaiseen kohtaan.

1. \(2^4\)

\(32\) \(16\) \(8\) \(6\)

2. \((-3)^2\)

\(6\) \(-6\) \(-9\) \(9\)

3. \(-3^2\)

\(9\) \(-9\) \(-6\) \(6\)

4. \(5^0\)

\(1\) \(-1\) \(5\) \(0\)

5. \(2^{-3}\)

\(\frac16\) \(\frac18\) \(-8\) \(8\)

6. \(\left(\frac23\right)^2\)

\(\frac23\) \(\frac46\) \(\frac89\) \(\frac49\)

7. \(0{,}5^2\)

\(0{,}10\) \(0{,}25\) \(0{,}75\) \(1{,}0\)

8. \(x^3\cdot x^4\)

\(x\) \(x^7\) \(x^{12}\) \(2x^7\)

9. \((x^3)^2\)

\(2x^3\) \(x^9\) \(x^5\) \(x^6\)

10. \((2x)^3\)

\(2x^3\) \(8x^3\) \(6x^3\) \(8x\)

11. \(\frac{x^8}{x^3}\)

\(x^{24}\) \(x^5\) \(x^{11}\) \(x^2\)

12. \(\left(\frac{x}{y}\right)^2\)

\(\frac{2x}{2y}\) \(\frac{x}{y^2}\) \(\frac{x^2}{y}\) \(\frac{x^2}{y^2}\)

13. \(3^x\cdot3^3=3^5\)

\(x=8\) \(x=15\) \(x=5\) \(x=2\)

14. \(27^2\)

\(81\) \(729\) \(54\) \(243\)

15. \(\sqrt{144}\)

\(72\) \(-12\) \(12\) \(14\)

16. \(\sqrt{0{,}64}\)

\(8\) \(0{,}64\) \(0{,}32\) \(0{,}8\)

17. \(\sqrt{-9}\text{ reaaliluvuissa}\)

\(\text{ei ole}\) \(3\) \(9\) \(-3\)

18. \(3+2\sqrt{25}\)

\(13\) \(11\) \(25\) \(35\)

19. \(5{,}2\cdot10^4\)

\(0{,}00052\) \(5200\) \(520000\) \(52000\)

20. \(0{,}00043\)

\(43\cdot10^{-4}\) \(4{,}3\cdot10^4\) \(4{,}3\cdot10^{-4}\) \(0{,}43\cdot10^{-4}\)

21. \((3\cdot10^5)(2\cdot10^3)\)

\(6\cdot10^2\) \(5\cdot10^8\) \(6\cdot10^{15}\) \(6\cdot10^8\)

22. \(\frac{8\cdot10^9}{2\cdot10^4}\)

\(4\cdot10^5\) \(4\cdot10^{13}\) \(4\cdot10^{-5}\) \(6\cdot10^5\)

23. \(1\ \mathrm{mm}\)

\(10^3\ \mathrm m\) \(10^{-6}\ \mathrm m\) \(10^{-3}\ \mathrm m\) \(10^{-2}\ \mathrm m\)

24. \(1\ \mathrm{km}\)

\(10^3\ \mathrm m\) \(10^{-3}\ \mathrm m\) \(10^6\ \mathrm m\) \(10^2\ \mathrm m\)

25. \(4^{31}\cdot0{,}25^{29}\)

\(16\) \(1\) \(4\) \(64\)

26. \(27^4=9^x\)

\(x=4\) \(x=8\) \(x=6\) \(x=12\)

27. \(3^{100}+3^{100}+3^{100}\)

\(3^{102}\) \(9^{100}\) \(3^{101}\) \(3^{300}\)

28. \(\left(-\frac12\right)^{-2}\)

\(-4\) \(2\) \(4\) \(\frac14\)

29. \(2^3+2^{-2}\)

\(8{,}25\) \(8{,}5\) \(10\) \(6\)

30. \(\sqrt{\frac9{16}}\)

\(\frac94\) \(-\frac34\) \(\frac34\) \(\frac3{16}\)