Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-4}{9}\right)^{-4}\)
2. \(\left(\frac{-3}{7}\right)^{-1}\)
3. \(-\left(\frac{-19}{4}\right)^{-4}\)
4. \(\left(\frac{-2}{3}\right)^{-2}\)
5. \(-\left(\frac{-11}{4}\right)^{-3}\)
6. \(-\left(\frac{-14}{3}\right)^{-3}\)
7. \(-\left(\frac{-18}{6}\right)^{-1}\)
8. \(\left(\frac{-3}{7}\right)^{-3}\)
9. \(\left(\frac{-6}{7}\right)^{-2}\)
10. \(\left(\frac{-7}{5}\right)^{-3}\)
11. \(-\left(\frac{-3}{4}\right)^{-1}\)
12. \(-\left(\frac{-20}{7}\right)^{-2}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-4}{9}\right)^{-4}=\left(-\frac{9}{4}\right)^{4}= \frac{9^{4}}{4^{4}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-3}{7}\right)^{-1}=\left(-\frac{7}{3}\right)^{1}=- \frac{7^{1}}{3^{1}}=- \frac{7}{3}\)
3. \(-\left(\frac{-19}{4}\right)^{-4}=-\left(-\frac{4}{19}\right)^{4}=- \frac{4^{4}}{19^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-2}{3}\right)^{-2}=\left(-\frac{3}{2}\right)^{2}= \frac{3^{2}}{2^{2}}= \frac{9}{4}\)
5. \(-\left(\frac{-11}{4}\right)^{-3}=-\left(-\frac{4}{11}\right)^{3}= \frac{4^{3}}{11^{3}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-18}{6}\right)^{-1}=-\left(-\frac{6}{18}\right)^{1}= \frac{6^{1}}{18^{1}}= \frac{6}{18}\)
8. \(\left(\frac{-3}{7}\right)^{-3}=\left(-\frac{7}{3}\right)^{3}=- \frac{7^{3}}{3^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-6}{7}\right)^{-2}=\left(-\frac{7}{6}\right)^{2}= \frac{7^{2}}{6^{2}}= \frac{49}{36}\)
10. \(\left(\frac{-7}{5}\right)^{-3}=\left(-\frac{5}{7}\right)^{3}=- \frac{5^{3}}{7^{3}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-3}{4}\right)^{-1}=-\left(-\frac{4}{3}\right)^{1}= \frac{4^{1}}{3^{1}}= \frac{4}{3}\)
12. \(-\left(\frac{-20}{7}\right)^{-2}=-\left(-\frac{7}{20}\right)^{2}=- \frac{7^{2}}{20^{2}}=- \frac{49}{400}\)