limit (5^x+4^x)^1/x as x goes to inf

In this video, I computed the limit of the xth root of the sum of two exponential functions using basic calc1 rules. It was an indeterminate case of inf to the power zero. There was then option of using L'hopitals rule but I opted for pure algebra for the sake of Calc 1 students. https://www.customink.com/fundraising...