Question

1) -3a^5*(4ab^6)^2 2) (-3a^3y^4)^3 3) -3 1/5a^8b*(1/2a^3b^8)^4

Answer 1

1)-3а^5*16аb^8=-48a^6b^8
2)-27a^6y^7
3)-31/5a^8b*1/16a^7b^12=-31/80a^15b^13 вот так вроде

Answer 2

Let's simplify each expression step by step:

1. -3a^5*(4ab^6)^2:

First, let's simplify the expression inside the parentheses:

(4ab^6)^2 = 4^2 * (ab^6)^2 = 16 * a^2 * (b^6)^2 = 16a^2 * b^12

Now substitute this back into the original expression:

-3a^5 * (4ab^6)^2 = -3a^5 * (16a^2 * b^12)

Multiplying the coefficients and combining the like terms:

-3 * 16 * a^5 * a^2 * b^12 = -48a^7 * b^12

So, the simplified expression is -48a^7b^12.

2. (-3a^3y^4)^3:

To simplify this expression, we apply the exponent to each term inside the parentheses:

(-3a^3y^4)^3 = (-3)^3 * (a^3)^3 * (y^4)^3

Simplifying each term inside the parentheses:

(-3)^3 = -3 * -3 * -3 = -27

(a^3)^3 = a^(3*3) = a^9

(y^4)^3 = y^(4*3) = y^12

Substituting these values back into the expression:

(-3a^3y^4)^3 = -27a^9y^12

So, the simplified expression is -27a^9y^12.

3. -3 1/5a^8b*(1/2a^3b^8)^4:

To simplify this expression, we first simplify the coefficients:

-3 1/5 = -3 - (1/5) = -3 - 0.2 = -3.2

Now let's simplify the expression inside the parentheses:

(1/2a^3b^8)^4 = (1/2)^4 * (a^3)^4 * (b^8)^4

Simplifying each term inside the parentheses:

(1/2)^4 = 1/16

(a^3)^4 = a^(3*4) = a^12

(b^8)^4 = b^(8*4) = b^32

Substituting these values back into the expression:

-3 1/5a^8b*(1/2a^3b^8)^4 = -3.2a^8b * (1/16a^12b^32)

Multiplying the coefficients and combining the like terms:

-3.2 * (1/16) * a^8 * a^12 * b * b^32 = -0.2a^20b^33

So, the simplified expression is -0.2a^20b^33.