Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-17}{5}\right)^{-1}\)
2. \(\left(\frac{-5}{3}\right)^{-1}\)
3. \(\left(\frac{-18}{6}\right)^{-3}\)
4. \(-\left(\frac{-14}{5}\right)^{-2}\)
5. \(\left(\frac{-19}{4}\right)^{-3}\)
6. \(-\left(\frac{-14}{3}\right)^{-3}\)
7. \(-\left(\frac{-4}{5}\right)^{-3}\)
8. \(\left(\frac{-11}{9}\right)^{-2}\)
9. \(-\left(\frac{-2}{3}\right)^{-4}\)
10. \(-\left(\frac{-3}{4}\right)^{-3}\)
11. \(\left(\frac{-3}{4}\right)^{-1}\)
12. \(\left(\frac{-6}{7}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-17}{5}\right)^{-1}=\left(-\frac{5}{17}\right)^{1}=- \frac{5^{1}}{17^{1}}=- \frac{5}{17}\)
2. \(\left(\frac{-5}{3}\right)^{-1}=\left(-\frac{3}{5}\right)^{1}=- \frac{3^{1}}{5^{1}}=- \frac{3}{5}\)
3. \(\left(\frac{-18}{6}\right)^{-3}=\left(-\frac{6}{18}\right)^{3}=- \frac{6^{3}}{18^{3}}=\ldots \text{ZRM}\)
4. \(-\left(\frac{-14}{5}\right)^{-2}=-\left(-\frac{5}{14}\right)^{2}=- \frac{5^{2}}{14^{2}}=- \frac{25}{196}\)
5. \(\left(\frac{-19}{4}\right)^{-3}=\left(-\frac{4}{19}\right)^{3}=- \frac{4^{3}}{19^{3}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-4}{5}\right)^{-3}=-\left(-\frac{5}{4}\right)^{3}= \frac{5^{3}}{4^{3}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-11}{9}\right)^{-2}=\left(-\frac{9}{11}\right)^{2}= \frac{9^{2}}{11^{2}}= \frac{81}{121}\)
9. \(-\left(\frac{-2}{3}\right)^{-4}=-\left(-\frac{3}{2}\right)^{4}=- \frac{3^{4}}{2^{4}}=\ldots \text{ZRM}\)
10. \(-\left(\frac{-3}{4}\right)^{-3}=-\left(-\frac{4}{3}\right)^{3}= \frac{4^{3}}{3^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-3}{4}\right)^{-1}=\left(-\frac{4}{3}\right)^{1}=- \frac{4^{1}}{3^{1}}=- \frac{4}{3}\)
12. \(\left(\frac{-6}{7}\right)^{-1}=\left(-\frac{7}{6}\right)^{1}=- \frac{7^{1}}{6^{1}}=- \frac{7}{6}\)