Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-5}{6}\right)^{-2}\)
2. \(\left(\frac{-15}{4}\right)^{-2}\)
3. \(\left(\frac{-10}{7}\right)^{-4}\)
4. \(-\left(\frac{-19}{5}\right)^{-3}\)
5. \(-\left(\frac{-6}{7}\right)^{-1}\)
6. \(\left(\frac{-9}{5}\right)^{-4}\)
7. \(-\left(\frac{-5}{3}\right)^{-1}\)
8. \(\left(\frac{-7}{8}\right)^{-3}\)
9. \(\left(\frac{-20}{3}\right)^{-1}\)
10. \(\left(\frac{-20}{3}\right)^{-4}\)
11. \(-\left(\frac{-10}{7}\right)^{-2}\)
12. \(\left(\frac{-20}{3}\right)^{-2}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-5}{6}\right)^{-2}=-\left(-\frac{6}{5}\right)^{2}=- \frac{6^{2}}{5^{2}}=- \frac{36}{25}\)
2. \(\left(\frac{-15}{4}\right)^{-2}=\left(-\frac{4}{15}\right)^{2}= \frac{4^{2}}{15^{2}}= \frac{16}{225}\)
3. \(\left(\frac{-10}{7}\right)^{-4}=\left(-\frac{7}{10}\right)^{4}= \frac{7^{4}}{10^{4}}=\ldots \text{ZRM}\)
4. \(-\left(\frac{-19}{5}\right)^{-3}=-\left(-\frac{5}{19}\right)^{3}= \frac{5^{3}}{19^{3}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-6}{7}\right)^{-1}=-\left(-\frac{7}{6}\right)^{1}= \frac{7^{1}}{6^{1}}= \frac{7}{6}\)
6. \(\left(\frac{-9}{5}\right)^{-4}=\left(-\frac{5}{9}\right)^{4}= \frac{5^{4}}{9^{4}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-5}{3}\right)^{-1}=-\left(-\frac{3}{5}\right)^{1}= \frac{3^{1}}{5^{1}}= \frac{3}{5}\)
8. \(\left(\frac{-7}{8}\right)^{-3}=\left(-\frac{8}{7}\right)^{3}=- \frac{8^{3}}{7^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-20}{3}\right)^{-1}=\left(-\frac{3}{20}\right)^{1}=- \frac{3^{1}}{20^{1}}=- \frac{3}{20}\)
10. \(\left(\frac{-20}{3}\right)^{-4}=\left(-\frac{3}{20}\right)^{4}= \frac{3^{4}}{20^{4}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-10}{7}\right)^{-2}=-\left(-\frac{7}{10}\right)^{2}=- \frac{7^{2}}{10^{2}}=- \frac{49}{100}\)
12. \(\left(\frac{-20}{3}\right)^{-2}=\left(-\frac{3}{20}\right)^{2}= \frac{3^{2}}{20^{2}}= \frac{9}{400}\)