Asked by Serena

Hi. I need help on a couple of algebra problems. Can you please explain step by step how to do these?
Thanks.

ã(3x (whole thing has radical sign)
----
2y^3


^3(ã2x^4y^4)
------------ (the whole thing is cubed
9x
Answered by Serena
The squiggly A was originally a radical sign, but I guess it got changed.
Answered by Reiny
I will assume I am looking at

√(3x)/(2y^3) and

( √(2x^4 y^4) )/(9x)

are they multiplied or what ?

explain please
Answered by Serena
No. These two are both separate problems. The book asks to simplify each problem. And for the 2nd problem the index is a four.
Answered by Reiny
Still not too clear if the √ governs the whole thing in the first
Actually there is very little that can be done in terms of simplification.
If it is
√( 3x/(2y^3) ) remember that √ is equivalent to having an exponent of 1/2

so all you get is
√(3/2)x^(1/2) / y^(3/2) which is certainly not any more simpified

for the second I will read it as:

( √2x^4 y^4/(9x) )^3
= 2√2x^12 y^12/(729x^3

= (2√2/729)x^9 y^12

I think it was more "simplified" at the start.
Answered by Serena
Well for the first one, the answer s supposed to be 1ã6xy/2y^2.
The second problem's answer is xy/3 times the cubed root of 6y
Answered by Reiny
Can you see how important brackets are when typing on this forum?
I can't see any way to obtain those answers the way the questions were typed.

Answered by Serena
That's alright then. Thank you very much.
There are no AI answers yet. The ability to request AI answers is coming soon!