Negatieve exponent (reeks 2)

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Zet om naar een positieve exponent

1. \(\left(\frac{-15}{4}\right)^{-2}\)
2. \(\left(\frac{-3}{4}\right)^{-3}\)
3. \(\left(\frac{-17}{9}\right)^{-3}\)
4. \(\left(\frac{-19}{4}\right)^{-2}\)
5. \(\left(\frac{-4}{5}\right)^{-2}\)
6. \(-\left(\frac{-15}{8}\right)^{-3}\)
7. \(-\left(\frac{-17}{5}\right)^{-2}\)
8. \(\left(\frac{-15}{4}\right)^{-4}\)
9. \(\left(\frac{-19}{4}\right)^{-3}\)
10. \(-\left(\frac{-16}{7}\right)^{-3}\)
11. \(-\left(\frac{-5}{3}\right)^{-1}\)
12. \(\left(\frac{-5}{3}\right)^{-4}\)

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Zet om naar een positieve exponent

Verbetersleutel

1. \(\left(\frac{-15}{4}\right)^{-2}=\left(-\frac{4}{15}\right)^{2}= \frac{4^{2}}{15^{2}}= \frac{16}{225}\)
2. \(\left(\frac{-3}{4}\right)^{-3}=\left(-\frac{4}{3}\right)^{3}=- \frac{4^{3}}{3^{3}}=\ldots \text{ZRM}\)
3. \(\left(\frac{-17}{9}\right)^{-3}=\left(-\frac{9}{17}\right)^{3}=- \frac{9^{3}}{17^{3}}=\ldots \text{ZRM}\)
4. \(\left(\frac{-19}{4}\right)^{-2}=\left(-\frac{4}{19}\right)^{2}= \frac{4^{2}}{19^{2}}= \frac{16}{361}\)
5. \(\left(\frac{-4}{5}\right)^{-2}=\left(-\frac{5}{4}\right)^{2}= \frac{5^{2}}{4^{2}}= \frac{25}{16}\)
6. \(-\left(\frac{-15}{8}\right)^{-3}=-\left(-\frac{8}{15}\right)^{3}= \frac{8^{3}}{15^{3}}=\ldots \text{ZRM}\)
7. \(-\left(\frac{-17}{5}\right)^{-2}=-\left(-\frac{5}{17}\right)^{2}=- \frac{5^{2}}{17^{2}}=- \frac{25}{289}\)
8. \(\left(\frac{-15}{4}\right)^{-4}=\left(-\frac{4}{15}\right)^{4}= \frac{4^{4}}{15^{4}}=\ldots \text{ZRM}\)
9. \(\left(\frac{-19}{4}\right)^{-3}=\left(-\frac{4}{19}\right)^{3}=- \frac{4^{3}}{19^{3}}=\ldots \text{ZRM}\)
10. \(-\left(\frac{-16}{7}\right)^{-3}=-\left(-\frac{7}{16}\right)^{3}= \frac{7^{3}}{16^{3}}=\ldots \text{ZRM}\)
11. \(-\left(\frac{-5}{3}\right)^{-1}=-\left(-\frac{3}{5}\right)^{1}= \frac{3^{1}}{5^{1}}= \frac{3}{5}\)
12. \(\left(\frac{-5}{3}\right)^{-4}=\left(-\frac{3}{5}\right)^{4}= \frac{3^{4}}{5^{4}}=\ldots \text{ZRM}\)