Question

which of the following is greater
70^71 or 71^70

Answer 1

Take logs of each to find the answer.

Answer 2

hint:
we can write this:
\[\Large \frac{{{{71}^{70}}}}{{{{70}^{71}}}} = {\left( {\frac{{71}}{{70}}} \right)^{70}} \cdot \frac{1}{{70}} = {\left( {1 + \frac{1}{{70}}} \right)^{70}} \cdot \frac{1}{{70}}\]

Answer 3

To me, \(71^{70}\) is greater.

Answer 4

no 70^71 is greater