Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-12}{7}\right)^{-2}\)
2. \(\left(\frac{-2}{3}\right)^{-1}\)
3. \(\left(\frac{-15}{2}\right)^{-4}\)
4. \(\left(\frac{-8}{7}\right)^{-2}\)
5. \(-\left(\frac{-8}{9}\right)^{-1}\)
6. \(\left(\frac{-10}{3}\right)^{-4}\)
7. \(-\left(\frac{-8}{9}\right)^{-4}\)
8. \(\left(\frac{-17}{9}\right)^{-1}\)
9. \(-\left(\frac{-5}{9}\right)^{-4}\)
10. \(\left(\frac{-8}{3}\right)^{-3}\)
11. \(-\left(\frac{-10}{3}\right)^{-2}\)
12. \(-\left(\frac{-16}{3}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-12}{7}\right)^{-2}=\left(-\frac{7}{12}\right)^{2}= \frac{7^{2}}{12^{2}}= \frac{49}{144}\)
2. \(\left(\frac{-2}{3}\right)^{-1}=\left(-\frac{3}{2}\right)^{1}=- \frac{3^{1}}{2^{1}}=- \frac{3}{2}\)
3. \(\left(\frac{-15}{2}\right)^{-4}=\left(-\frac{2}{15}\right)^{4}= \frac{2^{4}}{15^{4}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-8}{7}\right)^{-2}=\left(-\frac{7}{8}\right)^{2}= \frac{7^{2}}{8^{2}}= \frac{49}{64}\)
5. \(-\left(\frac{-8}{9}\right)^{-1}=-\left(-\frac{9}{8}\right)^{1}= \frac{9^{1}}{8^{1}}= \frac{9}{8}\)
6. \(\left(\frac{-10}{3}\right)^{-4}=\left(-\frac{3}{10}\right)^{4}= \frac{3^{4}}{10^{4}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-8}{9}\right)^{-4}=-\left(-\frac{9}{8}\right)^{4}=- \frac{9^{4}}{8^{4}}=\ldots \text{ZRM}\)
8. \(\left(\frac{-17}{9}\right)^{-1}=\left(-\frac{9}{17}\right)^{1}=- \frac{9^{1}}{17^{1}}=- \frac{9}{17}\)
9. \(-\left(\frac{-5}{9}\right)^{-4}=-\left(-\frac{9}{5}\right)^{4}=- \frac{9^{4}}{5^{4}}=\ldots \text{ZRM}\)
10. \(\left(\frac{-8}{3}\right)^{-3}=\left(-\frac{3}{8}\right)^{3}=- \frac{3^{3}}{8^{3}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-10}{3}\right)^{-2}=-\left(-\frac{3}{10}\right)^{2}=- \frac{3^{2}}{10^{2}}=- \frac{9}{100}\)
12. \(-\left(\frac{-16}{3}\right)^{-4}=-\left(-\frac{3}{16}\right)^{4}=- \frac{3^{4}}{16^{4}}=\ldots \text{ZRM}\)