Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

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

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-17}{3}\right)^{-1}=-\left(-\frac{3}{17}\right)^{1}= \frac{3^{1}}{17^{1}}= \frac{3}{17}\)
2. \(\left(\frac{-8}{9}\right)^{-3}=\left(-\frac{9}{8}\right)^{3}=- \frac{9^{3}}{8^{3}}=\ldots \text{ZRM}\)
3. \(-\left(\frac{-5}{3}\right)^{-2}=-\left(-\frac{3}{5}\right)^{2}=- \frac{3^{2}}{5^{2}}=- \frac{9}{25}\)
4. \(-\left(\frac{-6}{7}\right)^{-4}=-\left(-\frac{7}{6}\right)^{4}=- \frac{7^{4}}{6^{4}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
6. \(\left(\frac{-7}{8}\right)^{-2}=\left(-\frac{8}{7}\right)^{2}= \frac{8^{2}}{7^{2}}= \frac{64}{49}\)
7. \(-\left(\frac{-2}{5}\right)^{-2}=-\left(-\frac{5}{2}\right)^{2}=- \frac{5^{2}}{2^{2}}=- \frac{25}{4}\)
8. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-17}{9}\right)^{-2}=\left(-\frac{9}{17}\right)^{2}= \frac{9^{2}}{17^{2}}= \frac{81}{289}\)
10. \(-\left(\frac{-19}{4}\right)^{-2}=-\left(-\frac{4}{19}\right)^{2}=- \frac{4^{2}}{19^{2}}=- \frac{16}{361}\)
11. \(-\left(\frac{-18}{2}\right)^{-4}=-\left(-\frac{2}{18}\right)^{4}=- \frac{2^{4}}{18^{4}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-18}{9}\right)^{-3}=-\left(-\frac{9}{18}\right)^{3}= \frac{9^{3}}{18^{3}}=\ldots \text{ZRM}\)