Question

i need the steps in simplifying:

square root of 27x^8y^5

Answer 1

You can break it up like this: sqrt(27)*sqrt(x^8)*sqrt(y^5)

Answer 2

If you have something raised to an exponent, such as x^8, you can subtract 2 from the exponent and put one outside the square root. Sqrt(x^8) = x*sqrt(x^6)

Answer 3

wait

Answer 4

the square root of 27 is 5.19

Answer 5

If you do that to your variables, and then break your 27 into its composite prime form, you'll be able to see everything you can take out.

Answer 6

In simplifying, you don't usually calculate the square root, you just make it as small as possible. So if you have sqrt(8), you simplify it to 2 * sqrt(2)

Answer 7

Because 8 is 2*2*2

Answer 8

Do you understand how simplifying works?

Answer 9

also 3 *3 ^2 right?

Answer 10

i think i got it so the answer could be 3x^4y^2 square root 3y ??

Answer 11

That's right

Answer 12

can i give you one more?

Answer 13

Yea

Answer 14

\[63m ^{-2}v ^{3} OVER 15^{6}v ^{-5} \]63m^-2v

Answer 15

forget about the bottom 63m

Answer 16

I'm not quite sure what you mean. Do you mean this? (63m^(-2)*v^3)/(15^6*v^-5)?

Answer 17

i am not sure either
i just know i need to have my final answer be a binomial square.. hw haha

Answer 18

But if you have something with a negative exponent like 1/n^(-3), it's equal to n^3

Answer 19

oops wrong part soory!

Answer 20

i need to simplify the following and only use positive exponents

Answer 21

That's the first step. Negative exponents are a pain to deal with. Then if you have something like this: n^4/n^2 you subtract the smaller from the larger. So n^2. Remember that if you wrote it out it'd be (n*n*n*n)/(n*n). If you crossed them out one by 1, you end up with n*n = n^2

Answer 22

can we do the problem i put down? its for a test today... i have no clue haha

Answer 23

whoops, that wasn't for you

Answer 24

Rewrite as:\[\sqrt{27x ^{8}y ^{5}}=\sqrt{9*3}\sqrt{x ^{8}}\sqrt{y ^{4}y}\]
Now extract the square roots:
\[3x ^{4}y ^{2}\sqrt{3y}\]
I think that would be your answer. Use calculator to obtain square root of 3

Answer 25

Omg, my computer is spazzing. That was for you, it was showing something from another window that confused me. And I can't read the problem you put down or I would.

Answer 26

i got that thanks radar!

Answer 27

can you help me with a diff prob? and no worries dwobwinkle ! i really appreciate it!

Answer 28

Use to helpful, but have to review. You understand

Answer 29

huh

Answer 30

So I don't quite get it, what are you stuck on? I'm not able to interpret the question.