Wat is correct ?
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A. ^5&space;<&space;\left&space;(&space;3^5&space;\right&space;)^2&space;<&space;&space;\left&space;(&space;5^2&space;\right&space;)^3 "https://latex.codecogs.com/png.image?\left ( 2^3 \right )^5 < \left ( 3^5 \right )^2 < \left ( 5^2 \right )^3") |
B. ^2&space;<&space;\left&space;(&space;2^3&space;\right&space;)^5&space;<&space;&space;\left&space;(&space;5^2&space;\right&space;)^3 "https://latex.codecogs.com/png.image?\left ( 3^5 \right )^2 < \left ( 2^3 \right )^5 < \left ( 5^2 \right )^3") |
C. ^3&space;<&space;\left&space;(&space;2^3&space;\right&space;)^5&space;<&space;&space;\left&space;(&space;3^5&space;\right&space;)^2 "https://latex.codecogs.com/png.image?\left ( 5^2 \right )^3 < \left ( 2^3 \right )^5 < \left ( 3^5 \right )^2") |
D. ^3&space;<&space;\left&space;(&space;3^5&space;\right&space;)^2&space;<&space;&space;\left&space;(&space;2^3&space;\right&space;)^5 "https://latex.codecogs.com/png.image?\large \left ( 5^2 \right )^3 < \left ( 3^5 \right )^2 < \left ( 2^3 \right )^5") |
E. ^2&space;<&space;\left&space;(&space;5^2&space;\right&space;)^3&space;<&space;&space;\left&space;(&space;2^3&space;\right&space;)^5 "https://latex.codecogs.com/png.image?\large \dpi{110}\left ( 3^5 \right )^2 < \left ( 5^2 \right )^3 < \left ( 2^3 \right )^5") |
[ 2-8464 - op net sinds 21.3.2020-(E)-2.11.2023 ]
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
