Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

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

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-4}{5}\right)^{-4}=\left(-\frac{5}{4}\right)^{4}= \frac{5^{4}}{4^{4}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-20}{3}\right)^{-1}=\left(-\frac{3}{20}\right)^{1}=- \frac{3^{1}}{20^{1}}=- \frac{3}{20}\)
3. \(-\left(\frac{-3}{7}\right)^{-1}=-\left(-\frac{7}{3}\right)^{1}= \frac{7^{1}}{3^{1}}= \frac{7}{3}\)
4. \(\left(\frac{-4}{9}\right)^{-3}=\left(-\frac{9}{4}\right)^{3}=- \frac{9^{3}}{4^{3}}=\ldots \text{ZRM}\)
5. \(\left(\frac{-17}{6}\right)^{-4}=\left(-\frac{6}{17}\right)^{4}= \frac{6^{4}}{17^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-11}{3}\right)^{-4}=-\left(-\frac{3}{11}\right)^{4}=- \frac{3^{4}}{11^{4}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-3}{7}\right)^{-4}=-\left(-\frac{7}{3}\right)^{4}=- \frac{7^{4}}{3^{4}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-2}{9}\right)^{-2}=\left(-\frac{9}{2}\right)^{2}= \frac{9^{2}}{2^{2}}= \frac{81}{4}\)
9. \(\left(\frac{-7}{4}\right)^{-2}=\left(-\frac{4}{7}\right)^{2}= \frac{4^{2}}{7^{2}}= \frac{16}{49}\)
10. \(-\left(\frac{-6}{7}\right)^{-2}=-\left(-\frac{7}{6}\right)^{2}=- \frac{7^{2}}{6^{2}}=- \frac{49}{36}\)
11. \(-\left(\frac{-20}{7}\right)^{-1}=-\left(-\frac{7}{20}\right)^{1}= \frac{7^{1}}{20^{1}}= \frac{7}{20}\)
12. \(-\left(\frac{-11}{3}\right)^{-2}=-\left(-\frac{3}{11}\right)^{2}=- \frac{3^{2}}{11^{2}}=- \frac{9}{121}\)