Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-4}{9}\right)^{-4}\)
2. \(-\left(\frac{-16}{9}\right)^{-4}\)
3. \(\left(\frac{-14}{5}\right)^{-4}\)
4. \(\left(\frac{-16}{3}\right)^{-1}\)
5. \(\left(\frac{-19}{7}\right)^{-1}\)
6. \(\left(\frac{-18}{5}\right)^{-2}\)
7. \(-\left(\frac{-15}{8}\right)^{-4}\)
8. \(-\left(\frac{-11}{4}\right)^{-2}\)
9. \(-\left(\frac{-4}{9}\right)^{-3}\)
10. \(\left(\frac{-10}{9}\right)^{-2}\)
11. \(-\left(\frac{-18}{7}\right)^{-2}\)
12. \(-\left(\frac{-8}{5}\right)^{-4}\)

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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. \(-\left(\frac{-16}{9}\right)^{-4}=-\left(-\frac{9}{16}\right)^{4}=- \frac{9^{4}}{16^{4}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-14}{5}\right)^{-4}=\left(-\frac{5}{14}\right)^{4}= \frac{5^{4}}{14^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-16}{3}\right)^{-1}=\left(-\frac{3}{16}\right)^{1}=- \frac{3^{1}}{16^{1}}=- \frac{3}{16}\)
5. \(\left(\frac{-19}{7}\right)^{-1}=\left(-\frac{7}{19}\right)^{1}=- \frac{7^{1}}{19^{1}}=- \frac{7}{19}\)
6. \(\left(\frac{-18}{5}\right)^{-2}=\left(-\frac{5}{18}\right)^{2}= \frac{5^{2}}{18^{2}}= \frac{25}{324}\)
7. \(-\left(\frac{-15}{8}\right)^{-4}=-\left(-\frac{8}{15}\right)^{4}=- \frac{8^{4}}{15^{4}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-11}{4}\right)^{-2}=-\left(-\frac{4}{11}\right)^{2}=- \frac{4^{2}}{11^{2}}=- \frac{16}{121}\)
9. \(-\left(\frac{-4}{9}\right)^{-3}=-\left(-\frac{9}{4}\right)^{3}= \frac{9^{3}}{4^{3}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-10}{9}\right)^{-2}=\left(-\frac{9}{10}\right)^{2}= \frac{9^{2}}{10^{2}}= \frac{81}{100}\)
11. \(-\left(\frac{-18}{7}\right)^{-2}=-\left(-\frac{7}{18}\right)^{2}=- \frac{7^{2}}{18^{2}}=- \frac{49}{324}\)
12. \(-\left(\frac{-8}{5}\right)^{-4}=-\left(-\frac{5}{8}\right)^{4}=- \frac{5^{4}}{8^{4}}=\ldots \text{ZRM}\)