Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify the quantity of x to the four thirds power, over x to the five sixths power. William has to simplify the sixteenth root of the quantity of x times x to the third times x to the fourth. Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.

I just really need help putting stuff into sentences like explaining it.

Question

Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify the quantity of x to the four thirds power, over x to the five sixths power. William has to simplify the sixteenth root of the quantity of x times x to the third times x to the fourth. Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.

I just really need help putting stuff into sentences like explaining it.

anonymous · Answer

@joyraheb  ??

dtan5457 · Answer

It'll be really helpful if you either drew or put your problem in equation mode. It's hard to read.

anonymous · Answer

vanessas problem

anonymous · Answer

Williams problem

anonymous · Answer

wait! I sent vannessas twice

anonymous · Answer

attachment

anonymous · Answer

that is Williams.. does that help?

dtan5457 · Answer

@AriPotta

dtan5457 · Answer

@Sadworld

dtan5457 · Answer

but not sure if that can even be more simplified..

anonymous · Answer

how would I explain how to do that in sentences to them

dtan5457 · Answer

@doulikepiecauseidont

dtan5457 · Answer

Give me a few minutes.

dtan5457 · Answer

Ok actually the first one is a lot easier than i thought

dtan5457 · Answer

because they are like terms you can just subtract the fractions to get

dtan5457 · Answer

$$x^\frac{ 4 }{ 3 }-x^\frac{ 5 }{ 6 }=x^\frac{ 1 }{ 2 }=\sqrt{x}$$

anonymous · Answer

I think they're two separate expression since the question isn't to find the value of x.

dtan5457 · Answer

ooh and the 2nd one would be
$$^{16}\sqrt{x^8}=(x^\frac{ 1 }{ 16 })^8=\sqrt{x}$$

dtan5457 · Answer

so they are the same equations...

dtan5457 · Answer

they ask if they are the same, which they are.

anonymous · Answer

I second @dtan5457 I got the same thing.

dtan5457 · Answer

@Leahclaire

dtan5457 · Answer

have to look up radical rules for this, can't remember anything..

anonymous · Answer

im back

anonymous · Answer

$$x ^{m}/x ^{n}=x ^{m-n}$$$$\sqrt[n]{x ^{m}} = x ^{\frac{ m }{ n }}$$

anonymous · Answer

$$x ^{\frac{ 1 }{ 2 }}=\sqrt{x}$$

dtan5457 · Answer

Whoops, had to go.

you finished this? 

@Leahclaire

anonymous · Answer

I guessed.. probably failed.

dtan5457 · Answer

How?? I pretty much gave you the answers...which im not suppose to..

anonymous · Answer

Here's a draft: "Vanessa and Williams will follow the laws of exponents (I don't know the names)..." so on and so on.

dtan5457 · Answer

Oh. If your suppose to write an explanation. Easy, look at my answers, look at @Sadworld and the rules he supplied you with. It's not hard once you have both.

anonymous · Answer

"Vanessa will subtract the exponents of both variables, etc. etc."