Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-15}{4}\right)^{-4}\)
2. \(\left(\frac{-9}{2}\right)^{-1}\)
3. \(\left(\frac{-10}{3}\right)^{-1}\)
4. \(\left(\frac{-10}{7}\right)^{-4}\)
5. \(-\left(\frac{-18}{7}\right)^{-3}\)
6. \(-\left(\frac{-3}{8}\right)^{-4}\)
7. \(-\left(\frac{-16}{9}\right)^{-1}\)
8. \(\left(\frac{-8}{7}\right)^{-2}\)
9. \(-\left(\frac{-12}{7}\right)^{-3}\)
10. \(\left(\frac{-9}{4}\right)^{-3}\)
11. \(\left(\frac{-19}{6}\right)^{-1}\)
12. \(-\left(\frac{-8}{7}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-15}{4}\right)^{-4}=\left(-\frac{4}{15}\right)^{4}= \frac{4^{4}}{15^{4}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-9}{2}\right)^{-1}=\left(-\frac{2}{9}\right)^{1}=- \frac{2^{1}}{9^{1}}=- \frac{2}{9}\)
3. \(\left(\frac{-10}{3}\right)^{-1}=\left(-\frac{3}{10}\right)^{1}=- \frac{3^{1}}{10^{1}}=- \frac{3}{10}\)
4. \(\left(\frac{-10}{7}\right)^{-4}=\left(-\frac{7}{10}\right)^{4}= \frac{7^{4}}{10^{4}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-18}{7}\right)^{-3}=-\left(-\frac{7}{18}\right)^{3}= \frac{7^{3}}{18^{3}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-3}{8}\right)^{-4}=-\left(-\frac{8}{3}\right)^{4}=- \frac{8^{4}}{3^{4}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-16}{9}\right)^{-1}=-\left(-\frac{9}{16}\right)^{1}= \frac{9^{1}}{16^{1}}= \frac{9}{16}\)
8. \(\left(\frac{-8}{7}\right)^{-2}=\left(-\frac{7}{8}\right)^{2}= \frac{7^{2}}{8^{2}}= \frac{49}{64}\)
9. \(-\left(\frac{-12}{7}\right)^{-3}=-\left(-\frac{7}{12}\right)^{3}= \frac{7^{3}}{12^{3}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-9}{4}\right)^{-3}=\left(-\frac{4}{9}\right)^{3}=- \frac{4^{3}}{9^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-19}{6}\right)^{-1}=\left(-\frac{6}{19}\right)^{1}=- \frac{6^{1}}{19^{1}}=- \frac{6}{19}\)
12. \(-\left(\frac{-8}{7}\right)^{-1}=-\left(-\frac{7}{8}\right)^{1}= \frac{7^{1}}{8^{1}}= \frac{7}{8}\)