Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-7}{4}\right)^{-2}\)
2. \(\left(\frac{-18}{5}\right)^{-4}\)
3. \(-\left(\frac{-15}{8}\right)^{-3}\)
4. \(\left(\frac{-18}{2}\right)^{-4}\)
5. \(\left(\frac{-14}{3}\right)^{-2}\)
6. \(\left(\frac{-6}{7}\right)^{-1}\)
7. \(\left(\frac{-16}{7}\right)^{-1}\)
8. \(\left(\frac{-13}{7}\right)^{-3}\)
9. \(-\left(\frac{-12}{5}\right)^{-1}\)
10. \(\left(\frac{-13}{7}\right)^{-4}\)
11. \(\left(\frac{-6}{7}\right)^{-4}\)
12. \(-\left(\frac{-12}{5}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-7}{4}\right)^{-2}=-\left(-\frac{4}{7}\right)^{2}=- \frac{4^{2}}{7^{2}}=- \frac{16}{49}\)
2. \(\left(\frac{-18}{5}\right)^{-4}=\left(-\frac{5}{18}\right)^{4}= \frac{5^{4}}{18^{4}}=\ldots \text{ZRM}\)
3. \(-\left(\frac{-15}{8}\right)^{-3}=-\left(-\frac{8}{15}\right)^{3}= \frac{8^{3}}{15^{3}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-18}{2}\right)^{-4}=\left(-\frac{2}{18}\right)^{4}= \frac{2^{4}}{18^{4}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-14}{3}\right)^{-2}=\left(-\frac{3}{14}\right)^{2}= \frac{3^{2}}{14^{2}}= \frac{9}{196}\)
6. \(\left(\frac{-6}{7}\right)^{-1}=\left(-\frac{7}{6}\right)^{1}=- \frac{7^{1}}{6^{1}}=- \frac{7}{6}\)
7. \(\left(\frac{-16}{7}\right)^{-1}=\left(-\frac{7}{16}\right)^{1}=- \frac{7^{1}}{16^{1}}=- \frac{7}{16}\)
8. \(\left(\frac{-13}{7}\right)^{-3}=\left(-\frac{7}{13}\right)^{3}=- \frac{7^{3}}{13^{3}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-12}{5}\right)^{-1}=-\left(-\frac{5}{12}\right)^{1}= \frac{5^{1}}{12^{1}}= \frac{5}{12}\)
10. \(\left(\frac{-13}{7}\right)^{-4}=\left(-\frac{7}{13}\right)^{4}= \frac{7^{4}}{13^{4}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-6}{7}\right)^{-4}=\left(-\frac{7}{6}\right)^{4}= \frac{7^{4}}{6^{4}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-12}{5}\right)^{-4}=-\left(-\frac{5}{12}\right)^{4}=- \frac{5^{4}}{12^{4}}=\ldots \text{ZRM}\)