Question

2) -2m^2 0.1m^4n(-5n^3) 4)-6x^3y^61.5xy 6)4/9a^4c(-12a^2c^3)1.8a^4b^5 8)(-xy)^3(-2x^2y^2)^4 ^ - степень / - дробь

Answer 1

8)(-xy)^3×(2x^2y^2)^4

-x^3y^3×16x^8y^2

(-16x^3+8y^2)y^3

Answer 2

It seems like you have a series of mathematical expressions that involve variables and operations. I'll break down each of these expressions for you:

2. -2m^2 * 0.1m^4n * (-5n^3)

To simplify this expression, you can multiply the coefficients and combine the like terms by adding the exponents:

-2 * 0.1 * m^(2 + 4) * n^(1 + (-3))

-0.2m^6n^(-2)

4. -6x^3y^6 * 1.5xy

Again, multiply the coefficients and combine the like terms:

-6 * 1.5 * x^(3 + 1) * y^(6 + 1)

-9xy^7

6. (4/9)a^4c * (-12a^2c^3) * 1.8a^4b^5

First, simplify the fractions by multiplying 4/9 by 1.8:

(4/9) * 1.8 = 0.8

Now, multiply the coefficients and combine the like terms:

0.8 * a^(4 + 4) * c^(1 + (-3)) * b^5

0.8a^8c^(-2)b^5

8. (-xy)^3 * (-2x^2y^2)^4

To simplify this expression, apply the exponent rules. First, simplify the terms inside the parentheses:

(-xy)^3 = -x^3y^3 (-2x^2y^2)^4 = (-2)^4 * (x^2)^4 * (y^2)^4 = 16x^8y^8

Now, multiply the simplified terms:

(-x^3y^3) * (16x^8y^8)

Apply the multiplication of exponents by adding the exponents:

-16x^(3 + 8)y^(3 + 8)

-16x^11y^11

So, the simplified expressions for each of the given expressions are as follows:

2. -0.2m^6n^(-2)
3. -9xy^7
4. 0.8a^8c^(-2)b^5
5. -16x^11y^11

If you have any more questions or need further clarification, feel free to ask!