## anonymous one year ago which of the following is greater 70^71 or 71^70

1. kropot72

Take logs of each to find the answer.

2. Michele_Laino

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

3. anonymous

To me, $$71^{70}$$ is greater.

4. anonymous

no 70^71 is greater