Question

1) 18bc ----------- 24c 2) 25a^2y --------------- 15by 3) 24a^3 ------------- 6ac 4) 27x^2y -------------- 21xy^3 5) -2a^6b^3 ----------------- a^3b^5 6)x^7y^4 -------------- x^5y^8 7) 42m^3n^5 ------------------- 35mn^5 8) 75p^4q --------------- 150p^4q

Answer 1

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Answer 2

Let's simplify each of the given expressions:

1. 18bc / 24c: We can simplify by canceling out the common factor of "c" in the numerator and denominator: (18bc) / (24c) = (18b) / (24) = (3b) / (4)

2. 25a^2y / 15by: We can simplify by canceling out the common factors of "5a^2" and "y" in the numerator and denominator: (25a^2y) / (15by) = (5a^2) / (3b)

3. 24a^3 / 6ac: We can simplify by canceling out the common factors of "24" and "a": (24a^3) / (6ac) = (4a^2) / (c)

4. 27x^2y / 21xy^3: We can simplify by canceling out the common factors of "3xy" in the numerator and denominator: (27x^2y) / (21xy^3) = (9x) / (7y^2)

5. -2a^6b^3 / a^3b^5: We can simplify by canceling out the common factors of "a^3" and "b^3" in the numerator and denominator: (-2a^6b^3) / (a^3b^5) = -2a^3 / b^2

6. x^7y^4 / x^5y^8: We can simplify by canceling out the common factors of "x^5" and "y^4" in the numerator and denominator: (x^7y^4) / (x^5y^8) = (x^2) / (y^4)

7. 42m^3n^5 / 35mn^5: We can simplify by canceling out the common factors of "7m" and "n^5" in the numerator and denominator: (42m^3n^5) / (35mn^5) = (6m^2) / (5)

8. 75p^4q / 150p^4q: We can simplify by canceling out the common factors of "75" and "p^4q" in the numerator and denominator: (75p^4q) / (150p^4q) = (1/2)

Therefore, the simplified expressions are:

1. (3b) / (4)
2. (5a^2) / (3b)
3. (4a^2) / (c)
4. (9x) / (7y^2)
5. -2a^3 / b^2
6. (x^2) / (y^4)
7. (6m^2) / (5)
8. (1/2)