# How do you determine which is greater 5^2*5^6 (<=>) 5^7?

It is ${5}^{2} \cdot {5}^{6} = {5}^{2 + 6} = {5}^{8} > {5}^{7}$ Hence we have that
${5}^{2} \cdot {5}^{6} > {5}^{7}$