Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-10}{3}\right)^{-4}\)
2. \(-\left(\frac{-11}{9}\right)^{-1}\)
3. \(\left(\frac{-15}{8}\right)^{-2}\)
4. \(\left(\frac{-4}{5}\right)^{-1}\)
5. \(\left(\frac{-18}{5}\right)^{-2}\)
6. \(\left(\frac{-2}{7}\right)^{-2}\)
7. \(-\left(\frac{-3}{4}\right)^{-2}\)
8. \(\left(\frac{-3}{2}\right)^{-3}\)
9. \(\left(\frac{-5}{6}\right)^{-3}\)
10. \(\left(\frac{-13}{6}\right)^{-2}\)
11. \(\left(\frac{-4}{5}\right)^{-2}\)
12. \(-\left(\frac{-14}{9}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-10}{3}\right)^{-4}=\left(-\frac{3}{10}\right)^{4}= \frac{3^{4}}{10^{4}}=\ldots \text{ZRM}\)
2. \(-\left(\frac{-11}{9}\right)^{-1}=-\left(-\frac{9}{11}\right)^{1}= \frac{9^{1}}{11^{1}}= \frac{9}{11}\)
3. \(\left(\frac{-15}{8}\right)^{-2}=\left(-\frac{8}{15}\right)^{2}= \frac{8^{2}}{15^{2}}= \frac{64}{225}\)
4. \(\left(\frac{-4}{5}\right)^{-1}=\left(-\frac{5}{4}\right)^{1}=- \frac{5^{1}}{4^{1}}=- \frac{5}{4}\)
5. \(\left(\frac{-18}{5}\right)^{-2}=\left(-\frac{5}{18}\right)^{2}= \frac{5^{2}}{18^{2}}= \frac{25}{324}\)
6. \(\left(\frac{-2}{7}\right)^{-2}=\left(-\frac{7}{2}\right)^{2}= \frac{7^{2}}{2^{2}}= \frac{49}{4}\)
7. \(-\left(\frac{-3}{4}\right)^{-2}=-\left(-\frac{4}{3}\right)^{2}=- \frac{4^{2}}{3^{2}}=- \frac{16}{9}\)
8. \(\left(\frac{-3}{2}\right)^{-3}=\left(-\frac{2}{3}\right)^{3}=- \frac{2^{3}}{3^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-5}{6}\right)^{-3}=\left(-\frac{6}{5}\right)^{3}=- \frac{6^{3}}{5^{3}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-13}{6}\right)^{-2}=\left(-\frac{6}{13}\right)^{2}= \frac{6^{2}}{13^{2}}= \frac{36}{169}\)
11. \(\left(\frac{-4}{5}\right)^{-2}=\left(-\frac{5}{4}\right)^{2}= \frac{5^{2}}{4^{2}}= \frac{25}{16}\)
12. \(-\left(\frac{-14}{9}\right)^{-3}=-\left(-\frac{9}{14}\right)^{3}= \frac{9^{3}}{14^{3}}=\ldots \text{ZRM}\)