Question

2ху/3:(6у),2m^4/n^3:m^3/n^2

Answer 1

Ответ:

Пошаговое объяснение:

2ху/3 : 6у = 2ху/3 * 1/6у =

2ху/18у = х/9

2m⁴/n³ : m³/n² =

2m⁴/n³ * n²/m³ =

2m⁴n²/m³n³ = 2m/n

Answer 2

To simplify the given expressions, let's break them down step by step:

1. 2xy/3:(6y) First, let's divide 2xy by 3: (2xy)/3

   Next, let's simplify the division by 6y, which is equivalent to multiplying by its reciprocal (1/(6y)): (2xy)/3 * (1/(6y))

   Now, we can simplify further by canceling out common factors: (2x/3) * (1/(6y))

   Finally, multiply the fractions: (2x * 1) / (3 * 6y)

   Simplify the numerator and denominator: (2x) / (18y)

   Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: (x) / (9y)

2. (2m^4/n^3):(m^3/n^2) To divide these expressions, we can rewrite the division as multiplication by the reciprocal of the second expression: (2m^4/n^3) * (n^2/m^3)

   Now, multiply the fractions: (2m^4 * n^2) / (n^3 * m^3)

   When multiplying terms with the same base (m and n), you can add their exponents: (2 * n^2 * m^(4-3)) / (n^3 * m^3)

   Simplify the exponents: (2 * n^2 * m) / (n^3 * m^3)

   To simplify further, subtract the exponents of n in the denominator from the exponents of n in the numerator: 2m / (n^(2-3) * m^3)

   Since n^(2-3) is equivalent to 1/n, we can rewrite the expression as: 2m / (1/n * m^3)

   Multiplying by 1/n is the same as dividing by n: 2m * n / (m^3)

   So, the simplified expression is: (2mn) / (m^3)

I hope this helps!