Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-4}{7}\right)^{-4}\)
2. \(\left(\frac{-13}{2}\right)^{-2}\)
3. \(\left(\frac{-8}{9}\right)^{-4}\)
4. \(\left(\frac{-16}{3}\right)^{-1}\)
5. \(-\left(\frac{-8}{7}\right)^{-2}\)
6. \(\left(\frac{-5}{2}\right)^{-4}\)
7. \(\left(\frac{-7}{3}\right)^{-4}\)
8. \(\left(\frac{-5}{8}\right)^{-3}\)
9. \(-\left(\frac{-12}{5}\right)^{-4}\)
10. \(-\left(\frac{-4}{5}\right)^{-3}\)
11. \(\left(\frac{-10}{7}\right)^{-2}\)
12. \(\left(\frac{-18}{5}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-4}{7}\right)^{-4}=-\left(-\frac{7}{4}\right)^{4}=- \frac{7^{4}}{4^{4}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-13}{2}\right)^{-2}=\left(-\frac{2}{13}\right)^{2}= \frac{2^{2}}{13^{2}}= \frac{4}{169}\)
3. \(\left(\frac{-8}{9}\right)^{-4}=\left(-\frac{9}{8}\right)^{4}= \frac{9^{4}}{8^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-16}{3}\right)^{-1}=\left(-\frac{3}{16}\right)^{1}=- \frac{3^{1}}{16^{1}}=- \frac{3}{16}\)
5. \(-\left(\frac{-8}{7}\right)^{-2}=-\left(-\frac{7}{8}\right)^{2}=- \frac{7^{2}}{8^{2}}=- \frac{49}{64}\)
6. \(\left(\frac{-5}{2}\right)^{-4}=\left(-\frac{2}{5}\right)^{4}= \frac{2^{4}}{5^{4}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-7}{3}\right)^{-4}=\left(-\frac{3}{7}\right)^{4}= \frac{3^{4}}{7^{4}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-5}{8}\right)^{-3}=\left(-\frac{8}{5}\right)^{3}=- \frac{8^{3}}{5^{3}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-12}{5}\right)^{-4}=-\left(-\frac{5}{12}\right)^{4}=- \frac{5^{4}}{12^{4}}=\ldots \text{ZRM}\)
10. \(-\left(\frac{-4}{5}\right)^{-3}=-\left(-\frac{5}{4}\right)^{3}= \frac{5^{3}}{4^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-10}{7}\right)^{-2}=\left(-\frac{7}{10}\right)^{2}= \frac{7^{2}}{10^{2}}= \frac{49}{100}\)
12. \(\left(\frac{-18}{5}\right)^{-4}=\left(-\frac{5}{18}\right)^{4}= \frac{5^{4}}{18^{4}}=\ldots \text{ZRM}\)