Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-7}{8}\right)^{-2}\)
2. \(\left(\frac{-5}{6}\right)^{-2}\)
3. \(\left(\frac{-16}{7}\right)^{-3}\)
4. \(\left(\frac{-3}{4}\right)^{-1}\)
5. \(-\left(\frac{-14}{3}\right)^{-3}\)
6. \(\left(\frac{-12}{5}\right)^{-3}\)
7. \(-\left(\frac{-17}{3}\right)^{-3}\)
8. \(\left(\frac{-14}{3}\right)^{-4}\)
9. \(-\left(\frac{-12}{5}\right)^{-1}\)
10. \(-\left(\frac{-6}{7}\right)^{-3}\)
11. \(\left(\frac{-16}{7}\right)^{-1}\)
12. \(\left(\frac{-7}{4}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-7}{8}\right)^{-2}=\left(-\frac{8}{7}\right)^{2}= \frac{8^{2}}{7^{2}}= \frac{64}{49}\)
2. \(\left(\frac{-5}{6}\right)^{-2}=\left(-\frac{6}{5}\right)^{2}= \frac{6^{2}}{5^{2}}= \frac{36}{25}\)
3. \(\left(\frac{-16}{7}\right)^{-3}=\left(-\frac{7}{16}\right)^{3}=- \frac{7^{3}}{16^{3}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-3}{4}\right)^{-1}=\left(-\frac{4}{3}\right)^{1}=- \frac{4^{1}}{3^{1}}=- \frac{4}{3}\)
5. \(-\left(\frac{-14}{3}\right)^{-3}=-\left(-\frac{3}{14}\right)^{3}= \frac{3^{3}}{14^{3}}=\ldots \text{ZRM}\)
6. \(\left(\frac{-12}{5}\right)^{-3}=\left(-\frac{5}{12}\right)^{3}=- \frac{5^{3}}{12^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-17}{3}\right)^{-3}=-\left(-\frac{3}{17}\right)^{3}= \frac{3^{3}}{17^{3}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-14}{3}\right)^{-4}=\left(-\frac{3}{14}\right)^{4}= \frac{3^{4}}{14^{4}}=\ldots \text{ZRM}\)
9. \(-\left(\frac{-12}{5}\right)^{-1}=-\left(-\frac{5}{12}\right)^{1}= \frac{5^{1}}{12^{1}}= \frac{5}{12}\)
10. \(-\left(\frac{-6}{7}\right)^{-3}=-\left(-\frac{7}{6}\right)^{3}= \frac{7^{3}}{6^{3}}=\ldots \text{ZRM}\)
11. \(\left(\frac{-16}{7}\right)^{-1}=\left(-\frac{7}{16}\right)^{1}=- \frac{7^{1}}{16^{1}}=- \frac{7}{16}\)
12. \(\left(\frac{-7}{4}\right)^{-4}=\left(-\frac{4}{7}\right)^{4}= \frac{4^{4}}{7^{4}}=\ldots \text{ZRM}\)