The number of integral terms in the expansion of $\left(5^{\frac{1}{2}}+5^{\frac{1}{4}}\right)^{680}

Question

The number of integral terms in the expansion of $\left(5^{\frac{1}{2}}+5^{\frac{1}{4}}\right)^{680}$ is equal to

Professor PC Thomas Classes · Answer

Integers require specific modular powers, yielding 171 terms.