To simplify the expression 24x^5y^4/13ab^2 : 4xy^2/13a^2 b : 3x^2(y-2)/a^2b, we will first express each term as a fraction and then divide the fractions.
First term: 24x^5y^4/13ab^2 can be written as a fraction with a numerator of 24x^5y^4 and a denominator of 13ab^2.
Second term: 4xy^2/13a^2 b can be written as a fraction with a numerator of 4xy^2 and a denominator of 13a^2 b.
Third term: 3x^2(y-2)/a^2b can be written as a fraction with a numerator of 3x^2(y-2) and a denominator of a^2b.
Now, let's divide the fractions:
(24x^5y^4/13ab^2) / (4xy^2/13a^2 b) / (3x^2(y-2)/a^2b)
To divide fractions, we multiply by the reciprocal of the second fraction and then the third fraction:
To simplify the expression 24x^5y^4/13ab^2 : 4xy^2/13a^2 b : 3x^2(y-2)/a^2b, we will first express each term as a fraction and then divide the fractions.
First term: 24x^5y^4/13ab^2 can be written as a fraction with a numerator of 24x^5y^4 and a denominator of 13ab^2.
Second term: 4xy^2/13a^2 b can be written as a fraction with a numerator of 4xy^2 and a denominator of 13a^2 b.
Third term: 3x^2(y-2)/a^2b can be written as a fraction with a numerator of 3x^2(y-2) and a denominator of a^2b.
Now, let's divide the fractions:
(24x^5y^4/13ab^2) / (4xy^2/13a^2 b) / (3x^2(y-2)/a^2b)
To divide fractions, we multiply by the reciprocal of the second fraction and then the third fraction:
(24x^5y^4/13ab^2) (13a^2 b/4xy^2) (a^2b/3x^2(y-2))
Now, simplify:
24x^5y^4 13a^2 b a^2b / 13ab^2 4xy^2 3x^2(y-2
312a^2 x^5 y^4 b^2 / 52ab^2 x y^2 9x^2(y-2
6a x^4 y^2 / x(y-2
6ax^3/ (y-2)