Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-16}{5}\right)^{-3}\)
2. \(\left(\frac{-13}{4}\right)^{-4}\)
3. \(\left(\frac{-17}{2}\right)^{-4}\)
4. \(-\left(\frac{-7}{10}\right)^{-4}\)
5. \(-\left(\frac{-15}{2}\right)^{-4}\)
6. \(-\left(\frac{-6}{5}\right)^{-2}\)
7. \(\left(\frac{-11}{8}\right)^{-1}\)
8. \(\left(\frac{-7}{9}\right)^{-1}\)
9. \(-\left(\frac{-4}{9}\right)^{-2}\)
10. \(-\left(\frac{-12}{5}\right)^{-2}\)
11. \(-\left(\frac{-2}{3}\right)^{-4}\)
12. \(-\left(\frac{-4}{3}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-16}{5}\right)^{-3}=-\left(-\frac{5}{16}\right)^{3}= \frac{5^{3}}{16^{3}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-13}{4}\right)^{-4}=\left(-\frac{4}{13}\right)^{4}= \frac{4^{4}}{13^{4}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-17}{2}\right)^{-4}=\left(-\frac{2}{17}\right)^{4}= \frac{2^{4}}{17^{4}}=\ldots \text{ZRM}\)
4. \(-\left(\frac{-7}{10}\right)^{-4}=-\left(-\frac{10}{7}\right)^{4}=- \frac{10^{4}}{7^{4}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-15}{2}\right)^{-4}=-\left(-\frac{2}{15}\right)^{4}=- \frac{2^{4}}{15^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-6}{5}\right)^{-2}=-\left(-\frac{5}{6}\right)^{2}=- \frac{5^{2}}{6^{2}}=- \frac{25}{36}\)
7. \(\left(\frac{-11}{8}\right)^{-1}=\left(-\frac{8}{11}\right)^{1}=- \frac{8^{1}}{11^{1}}=- \frac{8}{11}\)
8. \(\left(\frac{-7}{9}\right)^{-1}=\left(-\frac{9}{7}\right)^{1}=- \frac{9^{1}}{7^{1}}=- \frac{9}{7}\)
9. \(-\left(\frac{-4}{9}\right)^{-2}=-\left(-\frac{9}{4}\right)^{2}=- \frac{9^{2}}{4^{2}}=- \frac{81}{16}\)
10. \(-\left(\frac{-12}{5}\right)^{-2}=-\left(-\frac{5}{12}\right)^{2}=- \frac{5^{2}}{12^{2}}=- \frac{25}{144}\)
11. \(-\left(\frac{-2}{3}\right)^{-4}=-\left(-\frac{3}{2}\right)^{4}=- \frac{3^{4}}{2^{4}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-4}{3}\right)^{-4}=-\left(-\frac{3}{4}\right)^{4}=- \frac{3^{4}}{4^{4}}=\ldots \text{ZRM}\)