How to Solve (1/9) to the 0.5 Power! Exponents Made Easy!

Wondering how to solve (1/9) to the 0.5 power? 🤔 In this video, I’ll break down fractional exponents and show you the fastest way to simplify them step by step! You’ll learn how exponents relate to square roots and why (1/9)^0.5 gives the answer it does.
📌 What You'll Learn:
✔️ What fractional exponents mean
✔️ How to rewrite exponents as roots
✔️ The step-by-step process to solve (1/9)^0.5
✔️ How to simplify exponents in fraction form
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[@davidwilliams1060]

I had no idea, thanks. Some teachers are only presenters. If a student doesn’t catch on right away (like they did as students) then they’re lost. I definitely could have used your help in high school.

[@russelllomando8460]

1/3 ^ .5 is the sq rt. thanks for the fun

[@joecrow2847]

(1/9)^.5 = (1/9)^ (1/2) = 1/3

[@laurendoe168]

This is where the one half power differs from the "radical" sign. One ninth to the one half power is both positive and negative one third. If the radical sign had been used in the problem, then yes you would take only the principle square root. But, it didn't.

[@mcb4643]

Awesome

[@trevaperes5343]

Sq root of 1/9 = 1/3

[@larrystuder6378]

A total, but logical, guess: 1/3..
Logic- .5 exponent is square root. X times X is 1/9. 1/3 times 1/3 = 1/9.

[@SharkBite55]

I learned something. An exponent of 1/2 is the same thing as the square root of a number.🙂

[@George50809]

1/3.

[@tomtke7351]

1/3

[@Stylux-z1p]

(1/9)^.5 --> rewrite : (1/9)^½
(1/3²)^½ = (3^-2)^½ --> rules: (b²)³ = b^(2·3) = b^6
1/b = b^-1
(3^-2)^½ = 3^(-2 · ½) = 3^-1 = 1/3✅
(1/9)^.5 = 1/3

[@AssuredSystems]

(1/9)^1/2 =1/3=.333

[@torreyvent9429]

How about one over three.

[@panlomito]

V1 / V9 = 1/3

[@narenmenon6906]

= sqrt(1) divided by sqrt (9) = 1/3= 0.33333333333333333333333333333333333333333333333
How does one put a dot over the first decimal 3 to show recurring decimal fraction?

[@gavindeane3670]

I haven't found a way to do it in the text of a UA-cam comment. You could just leave the answer as 1/3, or use the ⅓ character if you have it.

[@nowaynotthatway3487]

(1/9)/(1/81)= 9

[@DavidRobinson-rj2sp]

Square root of 1/9 = 1/3.

[@philsaspiezone]

sqr rt 1/9 is 1/3. approximately 0.333333333333333333333333333333333333333333333333333333...

[@LuisGaray-v7c]

You talk too mach.

[@panlomito]

Too fast?

[@johnfedyk2443]

3

[@josephlaura7387]

1/3

[@chrisdissanayake6979]

1/3