# Math To: Reiny

posted by Maya

This is one whole question:
(12) (10xy^3) (3x^2y^2) (5x) (2y)

I don't know how to do any of these:
simplify sqaure root of 160000
simplify sqaure root of 0.04
simplify 3 * square root 81
simplify square root of 900
simplify square root of 0.0025

simplify [(a^2bc^4)(ab^3c^2)]^2
___________________
(b^2c^5)^3

what is 4^-5/2 expressed as a radical with positive exponents

1. Reiny

(12) (10xy^3) (3x^2y^2) (5x) (2y)
= mmmmh
= 3600 x^3 y^6

For the next 4, I showed you how to do these.

[(a^2bc^4)(ab^3c^2)]^2 / (b^2c^5)^3
= [a^3 b^4 c^6]^2 / (b^6 c^15)
= (a^6 b^8 c^12) / (b^6 c^15)
= a^6 b^2 / c^3

2. Maya

for this one:
12) (10xy^3) (3x^2y^2) (5x) (2y)

I got (12) 18x^2 3y^5

and do you know what 4^-5/2 expressed as a radical with positive exponents would be, I did read your reply but I keep getting those questions wrong so can you please show me how to do them

3. Maya

for the 4^-5/2 I got 1/ 2* square root of 4^5

4. Reiny

<<<for this one:
12) (10xy^3) (3x^2y^2) (5x) (2y)

I got (12) 18x^2 3y^5 >>>

By whatever means can you get that ???
(btw, I did this one for you , look about 20 line up)

let me rearrange the factors for you ...

(12)(10)(3)(5)(2) (x)( x^2)( x)( y^3)( y^2)( y)
= 3600 x^4 y^6 , looks like I missed one of the x's in my first solution

5. Maya

I thought you would add the x and y's ? And can you please help me with these: I begging you!!!! I've tried so much and can't do it!!!

simplify sqaure root of 160000
simplify sqaure root of 0.04
simplify 3 * square root 81
simplify square root of 900
simplify square root of 0.0025

6. Reiny

in 4^-5/2

is it the way you typed it, or is it 4^(-5/2)

I have a feeling it is 4^(-5/2)
= (1/4)^(5/2)
= [ (1/4)^(1/2) ]^5
= √(1/4)^5
= (1/2)^5
= 1/32

test it with your calculator

7. Maya

its to the power of -5/2 and I'm supposed to put it in a radicand so I think im right? and please help me with my other questions!!! I have tried so much

8. Reiny

simplify sqaure root of 160000 = 400
simplify sqaure root of 0.04 = .2
simplify 3 * square root 81 = I did this one
simplify square root of 900 = 30
simplify square root of 0.0025 =.05
--- all these could have simply been obtained by pushing the buttons on a calculator

I also did this for you, look about 5 or 6 lines up.

Again you could verify my answer on a calculator.
enter:
4
yx
2.5
+/-
=
to get .03125 which is 1/32, my answer

9. Maya

I cant do it this way, I have to do it this way: for exaple: square root of 50=
5*square root of 2.

10. Reiny

Ok, one more shot at explaining it ...

4^(-5/2)
= (4^(1/2) )^-5
= √4 ^-5
= 2^-5
= 1/2^5
= 1/32 , as before

11. Maya

no im talking about the simplifying questions, I have to do it this way
for exaple: square root of 50=
5*square root of 2.

cant just write a number down.

12. Maya

Nevermind, Thank you for all your help, and I am just going to write the numbers. Thanks so much :)

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