Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-13}{7}\right)^{-2}\)
2. \(-\left(\frac{-15}{4}\right)^{-3}\)
3. \(-\left(\frac{-12}{5}\right)^{-3}\)
4. \(\left(\frac{-6}{7}\right)^{-1}\)
5. \(\left(\frac{-11}{9}\right)^{-2}\)
6. \(-\left(\frac{-20}{3}\right)^{-4}\)
7. \(\left(\frac{-2}{7}\right)^{-1}\)
8. \(-\left(\frac{-12}{5}\right)^{-1}\)
9. \(-\left(\frac{-3}{7}\right)^{-3}\)
10. \(\left(\frac{-12}{5}\right)^{-4}\)
11. \(-\left(\frac{-16}{7}\right)^{-4}\)
12. \(\left(\frac{-7}{4}\right)^{-2}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-13}{7}\right)^{-2}=-\left(-\frac{7}{13}\right)^{2}=- \frac{7^{2}}{13^{2}}=- \frac{49}{169}\)
2. \(-\left(\frac{-15}{4}\right)^{-3}=-\left(-\frac{4}{15}\right)^{3}= \frac{4^{3}}{15^{3}}=\ldots \text{ZRM}\)
3. \(-\left(\frac{-12}{5}\right)^{-3}=-\left(-\frac{5}{12}\right)^{3}= \frac{5^{3}}{12^{3}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-6}{7}\right)^{-1}=\left(-\frac{7}{6}\right)^{1}=- \frac{7^{1}}{6^{1}}=- \frac{7}{6}\)
5. \(\left(\frac{-11}{9}\right)^{-2}=\left(-\frac{9}{11}\right)^{2}= \frac{9^{2}}{11^{2}}= \frac{81}{121}\)
6. \(-\left(\frac{-20}{3}\right)^{-4}=-\left(-\frac{3}{20}\right)^{4}=- \frac{3^{4}}{20^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-2}{7}\right)^{-1}=\left(-\frac{7}{2}\right)^{1}=- \frac{7^{1}}{2^{1}}=- \frac{7}{2}\)
8. \(-\left(\frac{-12}{5}\right)^{-1}=-\left(-\frac{5}{12}\right)^{1}= \frac{5^{1}}{12^{1}}= \frac{5}{12}\)
9. \(-\left(\frac{-3}{7}\right)^{-3}=-\left(-\frac{7}{3}\right)^{3}= \frac{7^{3}}{3^{3}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-12}{5}\right)^{-4}=\left(-\frac{5}{12}\right)^{4}= \frac{5^{4}}{12^{4}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-16}{7}\right)^{-4}=-\left(-\frac{7}{16}\right)^{4}=- \frac{7^{4}}{16^{4}}=\ldots \text{ZRM}\)
12. \(\left(\frac{-7}{4}\right)^{-2}=\left(-\frac{4}{7}\right)^{2}= \frac{4^{2}}{7^{2}}= \frac{16}{49}\)