Wat is correct ?
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|---|
| A. \(\left ( 2^3 \right )^5 < \left ( 3^5 \right )^2 < \left ( 5^2 \right )^3\) |
| B. \(\left ( 3^5 \right )^2 < \left ( 2^3 \right )^5 < \left ( 5^2 \right )^3\) |
| C. \(\left ( 5^2 \right )^3 < \left ( 2^3 \right )^5 < \left ( 3^5 \right )^2\) |
| D. \(\left ( 5^2 \right )^3 < \left ( 3^5 \right )^2 < \left ( 2^3 \right )^5\) |
| E. \(\left ( 3^5 \right )^2 < \left ( 5^2 \right )^3 < \left ( 2^3 \right )^5\) |
[ 2-8464 - op net sinds 21.3.2020-(E)-19.10.2026 ]
Translation in E N G L I S H
Oplossing - Solution
1ste manier : gewoon alles uitrekenen met de hand of rekenmachine
(23)5 = 32768
(35)2 = 59049
(52)3 = 15625
2de manier : de meest elegante manier
Het grootste geheel getal dat je tegenkomt is 32 !
(52)3 = 253 en (23)5 = (25)3 = 323 ⇒ (52)3 < (23)5
(23)5 = 85 en (35)2 = (32)5 = 95 ⇒ (23)5 < (35)2
