## anonymous 5 years ago i need the steps in simplifying: square root of 27x^8y^5

1. anonymous

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

2. anonymous

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)

3. anonymous

wait

4. anonymous

the square root of 27 is 5.19

5. anonymous

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.

6. anonymous

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)

7. anonymous

Because 8 is 2*2*2

8. anonymous

Do you understand how simplifying works?

9. anonymous

also 3 *3 ^2 right?

10. anonymous

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

11. anonymous

That's right

12. anonymous

can i give you one more?

13. anonymous

Yea

14. anonymous

$63m ^{-2}v ^{3} OVER 15^{6}v ^{-5}$63m^-2v

15. anonymous

16. anonymous

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

17. anonymous

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

18. anonymous

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

19. anonymous

oops wrong part soory!

20. anonymous

i need to simplify the following and only use positive exponents

21. anonymous

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

22. anonymous

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

23. anonymous

whoops, that wasn't for you

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

25. anonymous

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.

26. anonymous

27. anonymous

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

Use to helpful, but have to review. You understand

29. anonymous

huh

30. anonymous

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