Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-17}{3}\right)^{-1}\)
2. \(\left(\frac{-12}{5}\right)^{-4}\)
3. \(\left(\frac{-9}{7}\right)^{-4}\)
4. \(-\left(\frac{-19}{5}\right)^{-2}\)
5. \(-\left(\frac{-16}{7}\right)^{-1}\)
6. \(\left(\frac{-20}{7}\right)^{-2}\)
7. \(-\left(\frac{-13}{7}\right)^{-3}\)
8. \(-\left(\frac{-17}{7}\right)^{-3}\)
9. \(\left(\frac{-7}{4}\right)^{-4}\)
10. \(\left(\frac{-16}{7}\right)^{-2}\)
11. \(\left(\frac{-2}{9}\right)^{-3}\)
12. \(-\left(\frac{-6}{7}\right)^{-4}\)

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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. \(\left(\frac{-12}{5}\right)^{-4}=\left(-\frac{5}{12}\right)^{4}= \frac{5^{4}}{12^{4}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-9}{7}\right)^{-4}=\left(-\frac{7}{9}\right)^{4}= \frac{7^{4}}{9^{4}}=\ldots \text{ZRM}\)
4. \(-\left(\frac{-19}{5}\right)^{-2}=-\left(-\frac{5}{19}\right)^{2}=- \frac{5^{2}}{19^{2}}=- \frac{25}{361}\)
5. \(-\left(\frac{-16}{7}\right)^{-1}=-\left(-\frac{7}{16}\right)^{1}= \frac{7^{1}}{16^{1}}= \frac{7}{16}\)
6. \(\left(\frac{-20}{7}\right)^{-2}=\left(-\frac{7}{20}\right)^{2}= \frac{7^{2}}{20^{2}}= \frac{49}{400}\)
7. \(-\left(\frac{-13}{7}\right)^{-3}=-\left(-\frac{7}{13}\right)^{3}= \frac{7^{3}}{13^{3}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-17}{7}\right)^{-3}=-\left(-\frac{7}{17}\right)^{3}= \frac{7^{3}}{17^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-7}{4}\right)^{-4}=\left(-\frac{4}{7}\right)^{4}= \frac{4^{4}}{7^{4}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-16}{7}\right)^{-2}=\left(-\frac{7}{16}\right)^{2}= \frac{7^{2}}{16^{2}}= \frac{49}{256}\)
11. \(\left(\frac{-2}{9}\right)^{-3}=\left(-\frac{9}{2}\right)^{3}=- \frac{9^{3}}{2^{3}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-6}{7}\right)^{-4}=-\left(-\frac{7}{6}\right)^{4}=- \frac{7^{4}}{6^{4}}=\ldots \text{ZRM}\)