# Video: Converting Radical Form into Rational Exponents

Express the 11th root of π₯ in the form π₯^π.

01:35

### Video Transcript

Express the 11th root of π₯ to the seventh in the form π₯ to the π.

One of the tools that weβll need to solve this problem is the rational exponent rule which tells us that π₯ to the π over π equals the π root of π₯ to the π. That sounds really wordy, but weβll break it down.

In our problem, weβre given something that looks like this and asked to convert it to something that looks like this. Letβs identify what would be the π and π in our case. The root that weβre dealing with, the π in our problem is 11. The exponent, what the π₯ is being taken to the power of, in our case is seven. Our π would be seven. And both the rule and our problem is working with π₯, so the π₯ remains the same.

Now we need to plug in what we know. Our problem should be π₯ to the π over π. Our π equals seven, and our π equals 11.

The rational form of the expression we were given is π₯ to the seven over 11th power.