Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-5}{6}\right)^{-1}\)
2. \(-\left(\frac{-12}{5}\right)^{-1}\)
3. \(\left(\frac{-10}{7}\right)^{-1}\)
4. \(\left(\frac{-13}{9}\right)^{-2}\)
5. \(\left(\frac{-16}{7}\right)^{-2}\)
6. \(\left(\frac{-2}{5}\right)^{-3}\)
7. \(\left(\frac{-5}{6}\right)^{-2}\)
8. \(-\left(\frac{-14}{3}\right)^{-4}\)
9. \(-\left(\frac{-14}{3}\right)^{-1}\)
10. \(-\left(\frac{-16}{7}\right)^{-1}\)
11. \(-\left(\frac{-9}{5}\right)^{-4}\)
12. \(\left(\frac{-8}{9}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-5}{6}\right)^{-1}=\left(-\frac{6}{5}\right)^{1}=- \frac{6^{1}}{5^{1}}=- \frac{6}{5}\)
2. \(-\left(\frac{-12}{5}\right)^{-1}=-\left(-\frac{5}{12}\right)^{1}= \frac{5^{1}}{12^{1}}= \frac{5}{12}\)
3. \(\left(\frac{-10}{7}\right)^{-1}=\left(-\frac{7}{10}\right)^{1}=- \frac{7^{1}}{10^{1}}=- \frac{7}{10}\)
4. \(\left(\frac{-13}{9}\right)^{-2}=\left(-\frac{9}{13}\right)^{2}= \frac{9^{2}}{13^{2}}= \frac{81}{169}\)
5. \(\left(\frac{-16}{7}\right)^{-2}=\left(-\frac{7}{16}\right)^{2}= \frac{7^{2}}{16^{2}}= \frac{49}{256}\)
6. \(\left(\frac{-2}{5}\right)^{-3}=\left(-\frac{5}{2}\right)^{3}=- \frac{5^{3}}{2^{3}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-5}{6}\right)^{-2}=\left(-\frac{6}{5}\right)^{2}= \frac{6^{2}}{5^{2}}= \frac{36}{25}\)
8. \(-\left(\frac{-14}{3}\right)^{-4}=-\left(-\frac{3}{14}\right)^{4}=- \frac{3^{4}}{14^{4}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-14}{3}\right)^{-1}=-\left(-\frac{3}{14}\right)^{1}= \frac{3^{1}}{14^{1}}= \frac{3}{14}\)
10. \(-\left(\frac{-16}{7}\right)^{-1}=-\left(-\frac{7}{16}\right)^{1}= \frac{7^{1}}{16^{1}}= \frac{7}{16}\)
11. \(-\left(\frac{-9}{5}\right)^{-4}=-\left(-\frac{5}{9}\right)^{4}=- \frac{5^{4}}{9^{4}}=\ldots \text{ZRM}\)
12. \(\left(\frac{-8}{9}\right)^{-3}=\left(-\frac{9}{8}\right)^{3}=- \frac{9^{3}}{8^{3}}=\ldots \text{ZRM}\)