Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

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

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Zet om naar een positieve exponent

Verbetersleutel

1. \(-\left(\frac{-15}{2}\right)^{-1}=-\left(-\frac{2}{15}\right)^{1}= \frac{2^{1}}{15^{1}}= \frac{2}{15}\)
2. \(\left(\frac{-3}{4}\right)^{-1}=\left(-\frac{4}{3}\right)^{1}=- \frac{4^{1}}{3^{1}}=- \frac{4}{3}\)
3. \(-\left(\frac{-4}{3}\right)^{-4}=-\left(-\frac{3}{4}\right)^{4}=- \frac{3^{4}}{4^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-14}{9}\right)^{-4}=\left(-\frac{9}{14}\right)^{4}= \frac{9^{4}}{14^{4}}=\ldots \text{ZRM}\)
5. \(-\left(\frac{-2}{5}\right)^{-4}=-\left(-\frac{5}{2}\right)^{4}=- \frac{5^{4}}{2^{4}}=\ldots \text{ZRM}\)
6. \(-\left(\frac{-8}{9}\right)^{-3}=-\left(-\frac{9}{8}\right)^{3}= \frac{9^{3}}{8^{3}}=\ldots \text{ZRM}\)
7. \(\left(\frac{-10}{9}\right)^{-2}=\left(-\frac{9}{10}\right)^{2}= \frac{9^{2}}{10^{2}}= \frac{81}{100}\)
8. \(\left(\frac{-6}{5}\right)^{-4}=\left(-\frac{5}{6}\right)^{4}= \frac{5^{4}}{6^{4}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-15}{7}\right)^{-2}=\left(-\frac{7}{15}\right)^{2}= \frac{7^{2}}{15^{2}}= \frac{49}{225}\)
10. \(\left(\frac{-7}{10}\right)^{-1}=\left(-\frac{10}{7}\right)^{1}=- \frac{10^{1}}{7^{1}}=- \frac{10}{7}\)
11. \(-\left(\frac{-16}{3}\right)^{-3}=-\left(-\frac{3}{16}\right)^{3}= \frac{3^{3}}{16^{3}}=\ldots \text{ZRM}\)
12. \(-\left(\frac{-8}{9}\right)^{-2}=-\left(-\frac{9}{8}\right)^{2}=- \frac{9^{2}}{8^{2}}=- \frac{81}{64}\)