Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(-\left(\frac{-17}{5}\right)^{-4}\)
2. \(\left(\frac{-7}{8}\right)^{-2}\)
3. \(\left(\frac{-18}{2}\right)^{-4}\)
4. \(\left(\frac{-16}{7}\right)^{-2}\)
5. \(\left(\frac{-10}{7}\right)^{-4}\)
6. \(-\left(\frac{-20}{7}\right)^{-3}\)
7. \(-\left(\frac{-3}{4}\right)^{-4}\)
8. \(\left(\frac{-16}{7}\right)^{-3}\)
9. \(\left(\frac{-12}{5}\right)^{-3}\)
10. \(-\left(\frac{-3}{7}\right)^{-1}\)
11. \(\left(\frac{-7}{4}\right)^{-2}\)
12. \(\left(\frac{-20}{9}\right)^{-3}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-17}{5}\right)^{-4}=-\left(-\frac{5}{17}\right)^{4}=- \frac{5^{4}}{17^{4}}=\ldots \text{ZRM}\)
2. \(\left(\frac{-7}{8}\right)^{-2}=\left(-\frac{8}{7}\right)^{2}= \frac{8^{2}}{7^{2}}= \frac{64}{49}\)
3. \(\left(\frac{-18}{2}\right)^{-4}=\left(-\frac{2}{18}\right)^{4}= \frac{2^{4}}{18^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-16}{7}\right)^{-2}=\left(-\frac{7}{16}\right)^{2}= \frac{7^{2}}{16^{2}}= \frac{49}{256}\)
5. \(\left(\frac{-10}{7}\right)^{-4}=\left(-\frac{7}{10}\right)^{4}= \frac{7^{4}}{10^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-20}{7}\right)^{-3}=-\left(-\frac{7}{20}\right)^{3}= \frac{7^{3}}{20^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-3}{4}\right)^{-4}=-\left(-\frac{4}{3}\right)^{4}=- \frac{4^{4}}{3^{4}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-16}{7}\right)^{-3}=\left(-\frac{7}{16}\right)^{3}=- \frac{7^{3}}{16^{3}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-12}{5}\right)^{-3}=\left(-\frac{5}{12}\right)^{3}=- \frac{5^{3}}{12^{3}}=\ldots \text{ZRM}\)
10. \(-\left(\frac{-3}{7}\right)^{-1}=-\left(-\frac{7}{3}\right)^{1}= \frac{7^{1}}{3^{1}}= \frac{7}{3}\)
11. \(\left(\frac{-7}{4}\right)^{-2}=\left(-\frac{4}{7}\right)^{2}= \frac{4^{2}}{7^{2}}= \frac{16}{49}\)
12. \(\left(\frac{-20}{9}\right)^{-3}=\left(-\frac{9}{20}\right)^{3}=- \frac{9^{3}}{20^{3}}=\ldots \text{ZRM}\)