Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-10}{7}\right)^{-2}\)
2. \(-\left(\frac{-14}{3}\right)^{-3}\)
3. \(-\left(\frac{-16}{7}\right)^{-1}\)
4. \(-\left(\frac{-15}{4}\right)^{-1}\)
5. \(\left(\frac{-5}{8}\right)^{-2}\)
6. \(-\left(\frac{-13}{7}\right)^{-1}\)
7. \(\left(\frac{-19}{5}\right)^{-3}\)
8. \(-\left(\frac{-13}{7}\right)^{-2}\)
9. \(-\left(\frac{-16}{7}\right)^{-2}\)
10. \(-\left(\frac{-19}{4}\right)^{-2}\)
11. \(\left(\frac{-14}{3}\right)^{-4}\)
12. \(\left(\frac{-5}{3}\right)^{-1}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-10}{7}\right)^{-2}=-\left(-\frac{7}{10}\right)^{2}=- \frac{7^{2}}{10^{2}}=- \frac{49}{100}\)
2. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
3. \(-\left(\frac{-16}{7}\right)^{-1}=-\left(-\frac{7}{16}\right)^{1}= \frac{7^{1}}{16^{1}}= \frac{7}{16}\)
4. \(-\left(\frac{-15}{4}\right)^{-1}=-\left(-\frac{4}{15}\right)^{1}= \frac{4^{1}}{15^{1}}= \frac{4}{15}\)
5. \(\left(\frac{-5}{8}\right)^{-2}=\left(-\frac{8}{5}\right)^{2}= \frac{8^{2}}{5^{2}}= \frac{64}{25}\)
6. \(-\left(\frac{-13}{7}\right)^{-1}=-\left(-\frac{7}{13}\right)^{1}= \frac{7^{1}}{13^{1}}= \frac{7}{13}\)
7. \(\left(\frac{-19}{5}\right)^{-3}=\left(-\frac{5}{19}\right)^{3}=- \frac{5^{3}}{19^{3}}=\ldots \text{ZRM}\)
8. \(-\left(\frac{-13}{7}\right)^{-2}=-\left(-\frac{7}{13}\right)^{2}=- \frac{7^{2}}{13^{2}}=- \frac{49}{169}\)
9. \(-\left(\frac{-16}{7}\right)^{-2}=-\left(-\frac{7}{16}\right)^{2}=- \frac{7^{2}}{16^{2}}=- \frac{49}{256}\)
10. \(-\left(\frac{-19}{4}\right)^{-2}=-\left(-\frac{4}{19}\right)^{2}=- \frac{4^{2}}{19^{2}}=- \frac{16}{361}\)
11. \(\left(\frac{-14}{3}\right)^{-4}=\left(-\frac{3}{14}\right)^{4}= \frac{3^{4}}{14^{4}}=\ldots \text{ZRM}\)
12. \(\left(\frac{-5}{3}\right)^{-1}=\left(-\frac{3}{5}\right)^{1}=- \frac{3^{1}}{5^{1}}=- \frac{3}{5}\)