Question

2. Подайте у вигляді степеня з основою х вираз: 1) (x ^ 6) ^ 2 3) x ^ 4 * x ^ 3 2) (- x ^ 5) ^ 4 4) ((x ^ 3) ^ 2) ^ 5 5) (x ^ 10) ^ 3 * (x ^ 5) ^ 4 6) (- x ^ 6) ^ 7 * (- x ^ 3) ^ 3 / (x ^ 15) пжжж памагие

Answer 1

1. (x ^ 6) ^ 2 = x ^ (6 * 2) = x ^ 12
2. (- x ^ 5) ^ 4 = (-1) ^ 4 * (x ^ 5) ^ 4 = x ^ (5 * 4) = x ^ 20
3. x ^ 4 * x ^ 3 = x ^ (4 + 3) = x ^ 7
4. ((x ^ 3) ^ 2) ^ 5 = (x ^ (3 * 2)) ^ 5 = x ^ (6 * 5) = x ^ 30
5. (x ^ 10) ^ 3 * (x ^ 5) ^ 4 = (x ^ (10 * 3)) * (x ^ (5 * 4)) = x ^ (30 + 20) = x ^ 50
6. (- x ^ 6) ^ 7 * (- x ^ 3) ^ 3 / (x ^ 15) = ((-1)^7 * x^(67)) * ((-1)^3 * x^(33)) / (x^15) = (-1)^10 * x^(42+9-15) = (-1)^10 * x^36 = x^36

Answer 2

1. (x^6)^2 = x^(6 * 2) = x^12
2. x^4 * x^3 = x^(4 + 3) = x^7
3. (-x^5)^4 = (-1)^4 * (x^5)^4 = x^20
4. ((x^3)^2)^5 = (x^(3 * 2))^5 = x^6^5 = x^30
5. (x^10)^3 * (x^5)^4 = x^(10 * 3) * x^(5 * 4) = x^30 * x^20 = x^(30 + 20) = x^50
6. (-x^6)^7 * (-x^3)^3 / x^15 = (-1)^7 * x^(6 * 7) * (-1)^3 * x^(3 * 3) / x^15 = -x^42 * -x^9 / x^15 = (x^42 * x^9) / x^15 = x^(42 + 9 - 15) = x^36