Simplify: (2x4y)/(4xy3)

[jwk811]

8) Simplify: (2x4y)/(4xy3)


A) (x3)/(2y2)
B) 2x3y2
C) (x5)/(2y4)
D) (2x3)/(y2)
E) None of these

I don't know how to do this one at all. Can you show me how? Thanks!

 

[Romsek]

8) Simplify: (2x4y)/(4xy3)


A) (x3)/(2y2)
B) 2x3y2
C) (x5)/(2y4)
D) (2x3)/(y2)
E) None of these

I don't know how to do this one at all. Can you show me how? Thanks!

if I have (2x⁴ y)/(4x y³) does this = (2x⁴/4x) (y/y³) ? do you know how to simplfy those 2 pieces?

 

[lookagain]

8) Simplify: (2x4y)/(4xy3)


A) (x3)/(2y2)

B) 2x3y2

C) (x5)/(2y4)

D) (2x3)/(y2)

E) None of these

I don't know how to do this one at all. Can you show me how? Thanks!

jwk811, you need to at least use "^" (above the "6" on the keyboard) for exponentiation.

Also, for greater clarity and readability, I would put more grouping symbols into
the problem and the choices like this even though certain pairs of grouping
symbols in certain places are not a must:

Rewrite:

Simplify: [(2x^4)y]/(4xy^3)


A) (x^3)/(2y^2)

B) 2(x^3)(y^2)

C) (x^5)/(2y^4)

D) (2x^3)/(y^2)

E) None of these




Another rewrite:


Simplify: \(\displaystyle \ \ \dfrac{2x^4y}{4xy^3}\)


A) \(\displaystyle \ \dfrac{x^3}{2y^2}\)

B) \(\displaystyle \ 2x^3y^2\)

C) \(\displaystyle \ \dfrac{x^5}{2y^4}\)

D) \(\displaystyle \ \dfrac{2x^3}{y^2}\)

E) None of these


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Here is a hint. You need to be able to reduce the fraction from this form:


\(\displaystyle \ \ \dfrac{2x^4y}{4xy^3} \ = \ \bigg(\dfrac{2}{4}\bigg)\bigg(\dfrac{x^4}{x}\bigg)\bigg(\dfrac{y}{y^3}\bigg) \ = \ \)?