Asked by Skye

Simplify!!

54 a^2 b^3
___________
81 a^3 b^2

Choices are::

A. 2/3 a^2 b

B. 2a^2
____
3b
Answered by Reiny
54 a^2 b^3
___________
81 a^3 b^2

= (54/81)(a^2/a^3)(b^3/b^2)
= (2/3) b/a or 2b/(3a)

I don't see that choice, but that is your answer.
Answered by Skye
I'm sorry but that is not a choice.
Answered by Reiny
You are right, I should have had

(3/2)b/a or 3b/(2a)
Answered by Skye
Simplify!!

54 a^2 b^3
___________
81 a^3 b^2

Choices are::

A. 2a^2 b
_____
3
I have revised my choices! now try

B. 2a^2
____
3b
Answered by Reiny
There can't be a^2 in your answer
just looking at the a's you had a^2/a^3 which is 1/a

once more:

54 a^2 b^3
___________
81 a^3 b^2

= (3/2) (1/a) (b)

= (3/2)b/a or 3b/(2a)
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