Question

3xy(-2x^2)(-0,5y^3)=(-5mn^2)×0.4mp^2×3na=2/3ab^3×3/4a^2b(-8ab)=запишите одночлен в стандартном виде

Answer 1

3xy( -2x²)( -0.5y³)=3*2*0.5x³y⁴=3x³y⁴

( -5mn²)*0.4mp² *3na= - 6am²n³p²

2/3 ab³ * 3/4 a²b * ( -8ab)= - 4a⁴b⁵

Answer 2

To simplify the given expressions and write them in standard form, let's break down each expression step by step.

Expression 1: 3xy(-2x^2)(-0.5y^3) To simplify this expression, we can multiply the coefficients and combine the variables.

- Coefficients: 3 * (-2) * (-0.5) = 3

- Variables: x * x^2 = x^(1+2) = x^3 y * y^3 = y^(1+3) = y^4

Therefore, the simplified expression is 3x^3y^4.

Expression 2: (-5mn^2) × 0.4mp^2 × 3na To simplify this expression, we can multiply the coefficients and combine the variables.

- Coefficients: -5 * 0.4 * 3 = -6

- Variables: m * m = m^2 n^2 * n = n^(2+1) = n^3 p^2 * p = p^(2+1) = p^3 a * a = a^2

Therefore, the simplified expression is -6m^2n^3p^3a^2.

Expression 3: (2/3)ab^3 × (3/4)a^2b(-8ab) To simplify this expression, we can multiply the fractions, multiply the coefficients, and combine the variables.

- Fractions: (2/3) * (3/4) = 6/12 = 1/2

- Coefficients: 1 * (-8) = -8

- Variables: a * a^2 = a^(1+2) = a^3 b^3 * b = b^(3+1) = b^4

Therefore, the simplified expression is -(1/2)a^3b^4.

Standard Form: To write a monomial in standard form, we arrange the variables in alphabetical order and write the coefficients in front.

For the simplified expressions we obtained: - 3x^3y^4 is already in standard form. - -6m^2n^3p^3a^2 can be written as -6a^2m^2n^3p^3. - -(1/2)a^3b^4 can be written as -(1/2)a^3b^4.

Therefore, the monomials in standard form are: - 3x^3y^4 - -6a^2m^2n^3p^3 - -(1/2)a^3b^4

I hope this helps! Let me know if you have any further questions.