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One friend asked me to find which one is bigger: $9^{17}$ and $7^{19}$ using basic calculations only. I gave him a solution by using the technique given in herehere. However, it was not that basic since I had to go up to $6$th term: ${17\choose 5} \left(\frac{2}{7}\right)^5$, computation of which was not easy without calculator.

Can anyone give me a simpler solution (which does not require calculator)?

One friend asked me to find which one is bigger: $9^{17}$ and $7^{19}$ using basic calculations only. I gave him a solution by using the technique given in here. However, it was not that basic since I had to go up to $6$th term: ${17\choose 5} \left(\frac{2}{7}\right)^5$, computation of which was not easy without calculator.

Can anyone give me a simpler solution (which does not require calculator)?

One friend asked me to find which one is bigger: $9^{17}$ and $7^{19}$ using basic calculations only. I gave him a solution by using the technique given in here. However, it was not that basic since I had to go up to $6$th term: ${17\choose 5} \left(\frac{2}{7}\right)^5$, computation of which was not easy without calculator.

Can anyone give me a simpler solution (which does not require calculator)?

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hola
hola
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Which one is bigger: $9^{17}$ and $7^{19}$

One friend asked me to find which one is bigger: $9^{17}$ and $7^{19}$ using basic calculations only. I gave him a solution by using the technique given in here. However, it was not that basic since I had to go up to $6$th term: ${17\choose 5} \left(\frac{2}{7}\right)^5$, computation of which was not easy without calculator.

Can anyone give me a simpler solution (which does not require calculator)?