Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-15}{4}\right)^{-3}\)
2. \(\left(\frac{-19}{4}\right)^{-1}\)
3. \(\left(\frac{-17}{3}\right)^{-2}\)
4. \(-\left(\frac{-6}{7}\right)^{-2}\)
5. \(-\left(\frac{-8}{9}\right)^{-3}\)
6. \(-\left(\frac{-6}{7}\right)^{-1}\)
7. \(-\left(\frac{-11}{3}\right)^{-3}\)
8. \(\left(\frac{-20}{3}\right)^{-3}\)
9. \(-\left(\frac{-9}{7}\right)^{-1}\)
10. \(\left(\frac{-18}{9}\right)^{-2}\)
11. \(-\left(\frac{-11}{9}\right)^{-2}\)
12. \(\left(\frac{-19}{4}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-15}{4}\right)^{-3}=-\left(-\frac{4}{15}\right)^{3}= \frac{4^{3}}{15^{3}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-19}{4}\right)^{-1}=\left(-\frac{4}{19}\right)^{1}=- \frac{4^{1}}{19^{1}}=- \frac{4}{19}\)
3. \(\left(\frac{-17}{3}\right)^{-2}=\left(-\frac{3}{17}\right)^{2}= \frac{3^{2}}{17^{2}}= \frac{9}{289}\)
4. \(-\left(\frac{-6}{7}\right)^{-2}=-\left(-\frac{7}{6}\right)^{2}=- \frac{7^{2}}{6^{2}}=- \frac{49}{36}\)
5. \(-\left(\frac{-8}{9}\right)^{-3}=-\left(-\frac{9}{8}\right)^{3}= \frac{9^{3}}{8^{3}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-6}{7}\right)^{-1}=-\left(-\frac{7}{6}\right)^{1}= \frac{7^{1}}{6^{1}}= \frac{7}{6}\)
7. \(-\left(\frac{-11}{3}\right)^{-3}=-\left(-\frac{3}{11}\right)^{3}= \frac{3^{3}}{11^{3}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-20}{3}\right)^{-3}=\left(-\frac{3}{20}\right)^{3}=- \frac{3^{3}}{20^{3}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-9}{7}\right)^{-1}=-\left(-\frac{7}{9}\right)^{1}= \frac{7^{1}}{9^{1}}= \frac{7}{9}\)
10. \(\left(\frac{-18}{9}\right)^{-2}=\left(-\frac{9}{18}\right)^{2}= \frac{9^{2}}{18^{2}}= \frac{81}{324}\)
11. \(-\left(\frac{-11}{9}\right)^{-2}=-\left(-\frac{9}{11}\right)^{2}=- \frac{9^{2}}{11^{2}}=- \frac{81}{121}\)
12. \(\left(\frac{-19}{4}\right)^{-3}=\left(-\frac{4}{19}\right)^{3}=- \frac{4^{3}}{19^{3}}=\ldots \text{ZRM}\)