Question

38 10. Разделите одночлен на одночлен. 1) (-2c) : 0,1c 3) (30mº nº) : (–0,3m³ n3) 5) (0,2x³y7) : (–0,01x4y6) 7)(23abº):(125 a b) 2)(+a):( 4) 4) (42a): (-6a^) 6) (0,9x5y4): (-0,2x5y) 8) (30ab) : (-40ab)​

Answer 1

Ответ:

Объяснение:

(-2c) : 0,1c = (-2c) / 0,1c = (-2 / 0,1) = -20.

(30m²nº) : (-0,3m³n³) = (30 / (-0,3)) * (m² / m³) * (nº / n³) = -100 * m^(-1) * n^(-2).

(0,2x³y⁷) : (-0,01x⁴y⁶) = (0,2 / (-0,01)) * (x³ / x⁴) * (y⁷ / y⁶) = -20 * x^(-1) * y.

(23abº) : (125ab) = (23 / 125) * (a / a) * (bº / b) = 23/125 * b^(-1).

(+a) : 4 = a / 4.

(42a) : (-6a²) = (42 / (-6a²)) = -7/a².

(0,9x⁵y⁴) : (-0,2x⁵y) = (0,9 / (-0,2)) * (x⁵ / x⁵) * (y⁴ / y) = -4,5y³.

(30ab) : (-40ab) = (30 / (-40ab)) = -3/4ab.

Answer 2

1) (-2c) : (0,1c + 3)

To divide one monomial by another, we can use the rule: a : b = a * (1/b)

Therefore: (-2c) : (0,1c + 3) = (-2c) * (1 / (0,1c + 3)) = (-2c) * (1 / (0,1c + 3)) * ((10 / 10)) = (-2c) * (10 / (1c + 30)) = (-2c * 10) / (1c + 30) = -20c / (c + 30)

So, the result is -20c / (c + 30).

2) (30m² + n²) : (–0,3m³ + n³ + 5)

Using the same rule as above: (30m² + n²) : (–0,3m³ + n³ + 5) = (30m² + n²) * (1 / (–0,3m³ + n³ + 5)) = (30m² + n²) * (1 / (–0,3m³ + n³ + 5)) * (-10^3 / -10^3) = (30m² + n²) * (-10^3 / (-0,3m³ + n³ + 5)) = (-30000m² - 1000n²) / (0,3m³ - n³ - 5)

The result is (-30000m² - 1000n²) / (0,3m³ - n³ - 5).

3) (0,2x³y⁷) : (–0,01x⁴y⁶ + 7)

Using the same rule: (0,2x³y⁷) : (–0,01x⁴y⁶ + 7) = (0,2x³y⁷) * (1 / (–0,01x⁴y⁶ + 7)) = (0,2x³y⁷) * (1 / (–0,01x⁴y⁶ + 7)) * (100 / 100) = (0,2x³y⁷) * (100 / (–x⁴y⁶ + 700)) = (0,2x³y⁷ * 100) / (-x⁴y⁶ + 700) = 20x³y⁷ / (-x⁴y⁶ + 700)

So, the result is 20x³y⁷ / (-x⁴y⁶ + 700).

4) (23ab²) : (125 + a + b + 2)

Using the same rule: (23ab²) : (125 + a + b + 2) = (23ab²) * (1 / (125 + a + b + 2)) = (23ab²) * (1 / (127 + a + b)) = 23ab² / (127 + a + b)

The result is 23ab² / (127 + a + b).

5) (+a) : (+4) + 4

Using the same rule: (+a) : (+4) + 4 = (+a) * (1 / 4) + 4 = a / 4 + 4

The result is a / 4 + 4.

6) (42a) : (-6a² + 6)

Using the same rule: (42a) : (-6a² + 6) = (42a) * (1 / (-6a² + 6)) = (42a) * (1 / -6(a² - 1)) = (-42a) / (6(a² - 1)) = -7a / (a² - 1)

So, the result is -7a / (a² - 1).

7) (0,9x⁵y⁴) : (-0,2x⁵y + 8)

Using the same rule: (0,9x⁵y⁴) : (-0,2x⁵y + 8) = (0,9x⁵y⁴) * (1 / (-0,2x⁵y + 8)) = (0,9x⁵y⁴) * (1 / (-2x⁵y + 80)) = 0,9x⁵y⁴ / (-2x⁵y + 80)

The result is 0,9x⁵y⁴ / (-2x⁵y + 80).

8) (30ab) : (-40ab)

Using the same rule: (30ab) : (-40ab) = (30ab) * (1 / (-40ab)) = (30ab) * (1 / -40) = -30ab / 40 = -3ab / 4

So, the result is -3ab / 4.