Question

Rules Of Exponents (questions inside)

Answer 1

http://puu.sh/6C98t.jpg

Hello! I need to solve for the variable here.

Answer 2

move the x into the denominator first, that will make the exponent positive
then you can cross multiply

Answer 3

What do you mean?

Answer 4

Not sure how to move the x into the denominator, I'm still learning these rules.

Answer 5

Ohhh, okay.

Answer 6

now cross multiply

Answer 7

http://puu.sh/6C9Ev.png

Answer 8

That says 1 / 81x^2/3

Answer 9

it should be

Answer 10

wait, I think messed that up.

Answer 11

Ah, okay.

Answer 12

now raise both side by 3
this will eliminate the cubic root

Answer 13

So that gives us 531,441 = x^2

Answer 14

And the square root of 531,441 is x

Answer 15

Correct?

Answer 16

yes
now sqrt both sides

Answer 17

I actually have another I've done but would like to be checked on, would you mind?

Answer 18

you can post it
but what did you get for your 1st problem?

Answer 19

x = 729

Answer 20

kk that's right

Answer 21

http://puu.sh/6Ca1u.png

Answer 22

That's the other

Answer 23

your work is almost correct, but you messed up somewhere around
4sqrt(1296) = 6

Answer 24

Are you referring to the end?

Answer 25

The last thing is a b, not a 6, if that's what you're referring to. My final answer was b = 48

Answer 26

you kinda went off after 4sqrt(1296)

you didn't split the 4sqrt(1296) correctly where it would give you real number

the answer should be 6

Answer 27

What would be the correct way to do it?

Answer 28

Alright, a tad confused by those first couple steps

Answer 29

Wait, nevermind

Answer 30

Got it! I have so many of these, really struggling with them. :\

Answer 31

Just play with them without stress, you'd be done before you know it

Answer 32

Haha, well, you've been a great help. I wish I had you for all of these xD

Answer 33

you can ask me if you get stuck, i can help with what i am able to solve :)

Answer 34

I'm struggling with multiplying a fraction by a fraction exponent

Answer 35

http://puu.sh/6CbaT.jpg

Answer 36

Like that

Answer 37

we know that
1/(x^2/3) = x^(-2/3)
so A is out equal

for the rest of the choices, try to simply them, by multiply the out side exponents by the insides

Answer 38

A is not equal?

Answer 39

A is equal

Answer 40

Allright, so B simplifies to the same as A

Answer 41

Okay, so I think the answer is C

Answer 42

the only one that is different is C

Answer 43

Yay!

Answer 44

This is my next one. http://puu.sh/6CbYG.jpg

Answer 45

so, I know be is equivalent

Answer 46

because a^x + a^y = a^x+y

Answer 47

what 2 numbers give you 9 when multiplied ?

Answer 48

3 and 3
So C is also equivalent

Answer 49

c is the only one equivalent
the others are not

Answer 50

Wait, why is B not equivalent?

Answer 51

B would give you 81^(5x+y) which is not equal to 9^(5x+y)

Answer 52

My book says there's a rule that states a^x + a^y = a^x+y

Answer 53

wouldn't that mean 9^5x + 9^y = 9^5x + y?

Answer 54

It says on that page http://puu.sh/6Cd4J.png

Answer 55

okay lets go with the book
then in that case the answer would be B

Answer 56

http://puu.sh/6CdqU.jpg

Answer 57

like before you could do cross multiplication

Answer 58

can you explain what that is?

Answer 59

Ooh, okay, that makes a little more sense.

Answer 60

alright
i have to go

Answer 61

Alright, thanks!