Question

3mn/4ab*10a^2b^2/21m^2n​

Answer 1

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Answer 2

To simplify the expression (3mn/4ab) * (10a^2b^2/21m^2n), you can follow these steps:

1. Multiply the numerators together and the denominators together:

(3mn * 10a^2b^2) / (4ab * 21m^2n)

2. Simplify each part of the fraction:

Numerator: 3 * 10 = 30 m * m = m^2 n * b^2 = nb^2

Denominator: 4 * 21 = 84 a * a = a^2 b * n = bn

3. Now, your expression is simplified to:

(30m^2nb^2) / (84a^2bn)

4. You can further simplify this fraction by canceling out common factors in the numerator and denominator:

Divide both the numerator and denominator by 6 (the greatest common factor of 30 and 84) to simplify:

(5m^2nb^2) / (14a^2n)

So, the simplified expression is (5m^2nb^2) / (14a^2n).