Fractional Exponents and Square Roots

What does a fractional exponent mean? How do I do a number to the power of one half? What is the connection between fractions in exponents and square roots? Do fractional exponents obey the same rules we discussed in the first two parts of this series? I'll answer these questions and give some info on WHY all these rules work :-).

For more videos on exponents algebra, geometry, life, cats, and cupcakes, please click on my channel or on the links in the video. ...Okay, maybe I'm promising too much, but the math part is true. And possibly the cats.

PART 3 Combining Exponents – Fractional Exponents and Square Roots (Algebra) (Math Help)

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[bjrnvindabildtrup]

is x to the power of 1/4 the same as x to the power of 0, 25? would be interesting to see if that would make as much intuitive sense as the first one. And what would happen if the exponent is 0.501 or something weird like that that can't necessarily be written as a fraction?

[xyross]

Thanks for the explanation!! It really helped me in my Mathematics Olympiad.
To best honest, this concept was soo confusing untill now

[FBIFRAN.K]

Thank you so much! the whole day I've been reading it as 16 0.5 on my work it was putting me off, I was like how!? I have a very bad sore throat, my brain is extra slooow and maths isn't my strongest subject but you explained it so clearly and well, thank you again 🙏🏽☺