Question

please help!!!!!!!!!! attachment below :)
thank you
Explain, in complete sentences, how you would multiply the following expression:

Write the simplified answer in radical form

Answer 1

sorry i can't help you with this one so sorrrry

Answer 2

first convert to rational exponent form

Answer 3

do you know how to do that?

Answer 4

NO

Answer 5

(a)^m (a)^n=a^(m+n)

Answer 6

In general, \[\Large \sqrt[n]{x^m} = x^{m/n}\]

Answer 7

so

\[\Large \sqrt[12]{x^5} = x^{5/12}\]

Answer 8

oh, wow thank you..

Answer 9

you use this idea to convert each expression to have rational exponents, then you use the rule ktnguyen1 wrote out

Answer 10

that doesn't help me, sorry...

Answer 11

how would you convert \[\Large \sqrt[6]{x}\] to rational exponent form?

Answer 12

one sec

Answer 13

ok

Answer 14

6x?

Answer 15

no

Answer 16

\[\Large \sqrt[6]{x} = \sqrt[6]{x^1}\]

Answer 17

now use the rule \[\Large \sqrt[n]{x^m} = x^{m/n}\]

Answer 18

the only example i can think of right now is:
3√ 64 (assuming you mean the cube root of 64) is equal to (64)^(1/3)

Answer 19

so using this example, we can say \[\Large \sqrt[6]{x} = x^{1/6}\]

Answer 20

oh... I understand that now!!!!!!!! :))))

Answer 21

so

\[\Large \sqrt[12]{x^5} \cdot \sqrt[6]{x} \]

is the same as

\[\Large x^{5/12} \cdot x^{1/6} \]

Answer 22

now multiply those two expressions

Answer 23

\[\Large x^{5/12} \cdot x^{1/6} = ?\]

Answer 24

one sec:)

Answer 25

ps thank you for your time

Answer 26

yw

Answer 27

5/72

Answer 28

is that right?

Answer 29

you add the exponents, not multiply them

Answer 30

what???? are you serious??

Answer 31

yes

Answer 32

oh my god i suck at math.

Answer 33

no you don't

Answer 34

could've sworn it was multiplying

Answer 35

it's just kinda counter-intuitive to add the exponents when you multiply the two expressions, that's all

Answer 36

6/18

Answer 37

5/12 + 1/6

5/12 + 2/12

7/12

Answer 38

remember the denominators must be the same (and they don't change when you add)

Answer 39

it is counterintuitive.....

Answer 40

definitely

Answer 41

give me just one sec! brb

Answer 42

ok

Answer 43

back

Answer 44

how can you make sure the denominators are the SAme/

Answer 45

same?*

Answer 46

to go from 1/6 to 2/12, you multiply top and bottom by 2

Answer 47

just by adding the problem, it'll automatically be the same denominator?

Answer 48

oh, okay

Answer 49

i want to make all the denominators the same, since the LCM of 6 and 12 is 12, the common denominator is 12

Answer 50

gotcha :)

Answer 51

youre good at this

Answer 52

thanks

Answer 53

thank you for your undivided attention...seriously..

Answer 54

you're welcome

Answer 55

youre lucky math is your strongest

Answer 56

English is mine

Answer 57

I've just had a lot of practice

Answer 58

Do you really enjoy this?

Answer 59

give it more time and you'll get better

Answer 60

yes

Answer 61

Why, if I may ask?

Answer 62

hmm idk why, i just do

Answer 63

It just clicks?

Answer 64

yeah i guess so

Answer 65

So does English, for me

Answer 66

i guess i could ask the same about you and english

Answer 67

i gotcha

Answer 68

I enjoy reading. The answer doesn't have to be one specific thing. I can easily see myself apply English work to my everyday life.

Answer 69

i can see that happening too, there are a lot of places where english could be applied

Answer 70

Such as right now hahaha

Answer 71

It's funny though, English isn't my native language

Answer 72

no? i guess being on the outside looking in gives you an advantage in many ways

Answer 73

i know i didn't learn the semantics and syntax of language until I learned spanish (forgot most of it though lol)

Answer 74

I suppose it does. I suppose having to drill the language the year you came into the country has a large part of it as well ;)

Answer 75

yeah definitely, more than part of it...gotta know it to survive

Answer 76

you're great for being so kind

Answer 77

Russian's my initial language

Answer 78

oh that's very cool, do you use it a lot?

Answer 79

Not at all unfortunately. I was fluent, came to the US when I was four, and had forgotten the entire language due to me not being surrounded by Russian speaking beings.

Answer 80

oh so you've learned english at a young age then (probably the best time to learn), i gotcha

Answer 81

but who knows, you might use it again someday

Answer 82

It's hardly noticeable, though, that English isn't my native language, that is. But sometimes I'll catch myself pronouncing words a tad but differently from the ones around me.

Answer 83

Exactly :)

Answer 84

No one else really realizes it; it's mostly something I catch onto every now and again.

Answer 85

that happens to me all the time too, but I usually do that so I can spell them correctly

Answer 86

besides, no one sounds the same no matter where you go, so you're fine

Answer 87

:) you are too

Answer 88

thanks