Question

(-c^3)^2*12c^6= (3x^6y^3)^4*(-1/81xy^2)= (-2/3ab^5)^3*18a^5b=

Answer 1

Смотри ответ на фотографии

Answer 2

Let's simplify each expression step-by-step:

1. Simplify (-c^3)^212c^6: First, square the value inside the parentheses: (-c^3)^2 = c^(32) = c^6 Now, multiply the squared value by 12c^6: c^6 * 12c^6 = 12c^(6+6) = 12c^12

So, (-c^3)^2 * 12c^6 simplifies to 12c^12.

2. Simplify (3x^6y^3)^4 * (-1/81xy^2): First, raise each term inside the parentheses to the power of 4: (3x^6)^4 = 3^4 * (x^6)^4 = 81x^24, and (y^3)^4 = y^(3*4) = y^12. Now, we can rewrite the expression as follows: 81x^24 * y^12 * (-1/81xy^2).

Next, simplify the numerical part: 81 and -81 cancel each other out, leaving us with: x^24 * y^12 * (-1/xy^2).

Now, let's combine the x and y terms: x^24 * y^(12-2) = x^24 * y^10.

So, (3x^6y^3)^4 * (-1/81xy^2) simplifies to x^24 * y^10.

3. Simplify (-2/3ab^5)^3 * 18a^5b: First, cube the fraction inside the parentheses: (-2/3ab^5)^3 = (-2/3)^3 * (a)^3 * (b^5)^3 Now, evaluate the numerical part: (-2/3)^3 = -(2^3) / (3^3) = -8 / 27. The variable part becomes: a^3 * b^(5*3) = a^3 * b^15.

Now, multiply the numerical and variable parts: (-8/27) * a^3 * b^15.

Finally, multiply the result by 18a^5b: (-8/27) * a^3 * b^15 * 18a^5b = -8/27 * 18 * a^(3+5) * b^(15+1) = -8/27 * 18 * a^8 * b^16

So, (-2/3ab^5)^3 * 18a^5b simplifies to -8/27 * 18 * a^8 * b^16.

I hope this helps! If you have any further questions or need additional clarifications, feel free to ask.