Question

Help(hold on I'm typing it)

Answer 1

Francisco and Ryan are stuck simplifying radical expressions. Francisco has simplified to \[X \frac{ 1 }{ 2 }/ X/\frac{3}{18} \]. Ryan has simplified to \[27\sqrt{x^2}\times{x^3}\times{x^4}.\] Using full sentences, describe how to fully simplify Francisco and Ryan's expressions. Describe if Francisco and Ryan started with equivalent expressions or if they started with expressions that are not equal.

Answer 2

oop... LaTex. Can't.

Answer 3

The X^2 X X^3 X X^4 are in square root

Answer 4

Oh okay gotcha

Answer 5

XD

Answer 6

I'm still trying to process the first expression you posted.

Answer 7

What exactly does \(X \dfrac{ 1 }{ 2 }/ X/\dfrac{3}{18}\) mean?

Answer 8

I've never seen that notation before @ThisGirlPretty

Answer 9

I Typed it wrong sorry lol hold on I'll take a picture

Answer 10

have to use iPad rn

Answer 11

\(\dfrac{x^\dfrac{1}{2}}{x^\dfrac{3}{18}}\)

Answer 12

I don't know why that took so long to load.

Answer 13

Yes ^ lol I didn't know how to write that o.o or say it

Answer 14

`\(\dfrac{x^\dfrac{1}{2}}{x^\dfrac{3}{18}}\)`

Answer 15

So much coding o.o

Answer 16

You'll get used to it. It helped to click that equation button though.

Answer 17

True :O

Answer 18

Okay, so fractional exponents can be converted to root form by way of the following formula:

\(x^\dfrac{a}{b}=\sqrt{a}\)

Answer 19

o.o?

Answer 20

uh

Answer 21

hero be careful, it looks like you ended up with a bbtag there

Answer 22

[ b ] or bold to be exact

Answer 23

No, it was working perfectly. It's your glitches that's messing everything up

Answer 24

\(x^\dfrac{a}{b}=\sqrt[ b ]{a}\)

Answer 25

Okay, so fractional exponents can be converted to root form by way of the following formula:

\(x^\dfrac{a}{b}=\sqrt{a}\)

Answer 26

Nope, it looks like there's a bold segment on mine. But then again, I can't see LaTex so it might be a graphical glitch

Answer 27

add those spaces in between those brackets to fix the issue

Answer 28

That's exactly what I posted before. You guys are making me look bad.

Answer 29

take a closer look, the [ b ] is missing

Answer 30

No, you don't understand. What I just posted that DID render, all I did was copy and paste. And it rendered this time.

Answer 31

I just copied and pasted the exact same thing I posted before that didn't render and it rendered this time. This is hilarious

Answer 32

because it was missing the b tag because that is rendered server side

Answer 33

You can check it if you want. I assure you it is the same.

Answer 34

notice the b missing?

Answer 35

remind me to add a nobbcode tag to the bbcode system so conflicts like this don't happen again

Answer 36

You need to add way more than just that. There's all kind of latex code not working here.

Answer 37

Ok

Answer 38

Okay, so just to clarify to everyone, I did type the correct expression, but as a result of a coding conflict, it did not render as expected.

Answer 39

I will continue explaining how to solve the math problem posted by @ThisGirlPretty

Answer 40

Ok

Answer 41

Okay, so fractional exponents can be converted to root form by way of the following formula:

\(x^\dfrac{a}{b}=\sqrt{a}\)

Answer 42

There's the evidence that I typed the LaTeX correctly, but it renders something else because @Ultrilliam has another coding system embedded within the sever that conflicts with LaTeX.

Answer 43

So I'll continue when @Ultrilliam fixes that.

Answer 44

for heavens sake...

Answer 45

XD

Answer 46

Sorry, but I can't work properly in this environment unless the problem is fixed.

Answer 47

This issue never occurred on OS

Answer 48

[b]test

Answer 49

test

Answer 50

there... happy...

Answer 51

Thank you. I just didn't like when you guys were trying to make me look bad earlier.

Answer 52

I knew I typed it correctly the first time.

Answer 53

I wasn't trying to make you look bad, I was trying to explain the situation to you.

Answer 54

You said the b was missing and I knew I typed it so I knew something else was going on and I knew what I saw when I looked at the preview before it rendered so immediately knew that when what rendered and what showed up in the preview was different, I already knew a conflict existed. But you guys assumed that I didn't know what was going on. I was trying to prove to you I DID know what was going on. You just weren't hearing me.

Answer 55

Anyway, let's continue:

Answer 56

Okay, so fractional exponents can be converted to root form by way of the following formula:

\(x^\dfrac{a}{b}=\sqrt[b]{a}\)

Answer 57

So in other words, we have \(\dfrac{x^\dfrac{1}{2}}{x^\dfrac{3}{18}}\) but there is a 3/18 in the fraction portion which we will need to simplify before we continue

Answer 58

@ThisGirlPretty what does 3/18 simplify to?

Answer 59

Sorry for inconveniencing you with the delay btw.

Answer 60

I don't mind and is it 0.375? :/

Answer 61

Actually we don't need to simplify it to decimal. We only need to reduce it to the simplest fractional form.

Answer 62

If you divide the top and bottom of 3/18 by 3, you get 1/6. Here's another way to do it:

Answer 63

\(\dfrac{3}{18} \\= \dfrac{(3)(1)}{(3)(6)} \\= \dfrac{3}{3} \times \dfrac{1}{6} \\= \dfrac{1}{6}\)

Answer 64

Ok, I understand that :D my bad

Answer 65

So now what you have is \(\dfrac{x^\dfrac{1}{2}}{x^\dfrac{1}{6}}\) which converts to \(\dfrac{\sqrt[2]{x}}{\sqrt[6]{x}}\)

Answer 66

Ok

Answer 67

Hang on a minute

Answer 68

Ok

Answer 69

Okay, so this can be simplified further.

Answer 70

\[\dfrac{\sqrt[2]{x}}{\sqrt[6]{x}} = \dfrac{\sqrt[2]{x}}{\sqrt[2]{x} \times\sqrt[3]{x}}=\dfrac{\sqrt{x}}{\sqrt{x}} \times \dfrac{1}{\sqrt[3]{x}}\]

Answer 71

Okie :D

Answer 72

Which simplifies to \(x^{1/3}\)

Answer 73

You should review rules of exponents to get a better grasp of how to do these problems. But also, you should review how to reduce fractions. Otherwise you will have much trouble with Algebra.

Answer 74

No matter how hard I try I will never understand math lol

Answer 75

Because you don't have a personal tutor.

Answer 76

Tbh you're right lol

Answer 77

However, plenty students have learned math without tutors. You must make time to study it and you must use the right resources for what you are studying currently. And in addition to that, you must be able to consult mathematicians whenever you run into a problem.

Answer 78

Ok, will do...how u remember all this stuff

Answer 79

Practice and also knowing where to look in case you do forget.

Answer 80

You must familiarize yourself with mathematics concepts. In this case, if you did get lost and you did not remember the formulas, you could google radical formulas and fractional equation formulas.

Answer 81

Or rather Radical Rules or Root Rules or nth Root Rules

Answer 82

If you googled any of those, you should be able to find what you're looking for.

Answer 83

Okie dokie :p ty so much

Answer 84

Another thing is, different math texts use different words and terms that mean the same thing.

Answer 85

So keep that in mind.

Answer 86

Will do