Question

Помогите срочно!!даю 10 балов!! Подайте вираз у вигляді квадрата одночлена: 1) 16a⁸ 2) 0,36m¹²n⁴3) 64a¹⁰b⁶ 4) 729x¹⁴y⁸z²⁴​

Answer 1

Ответ:

Объяснение:

16a⁸=(4a⁴)²

0,36m¹²n⁴=(0,6m⁶n²)²

64a¹⁰b⁶=(8a⁵b³)²

729x¹⁴y⁸z²⁴=(27x⁷y⁴z¹²)²

Answer 2

1) 16a^8 can be represented as (4a^4)^2. So the square of the monomial is (4a^4)^2.

2) 0.36m^12n^4 can be represented as (0.6m^6n^2)^2. So the square of the monomial is (0.6m^6n^2)^2.

3) 64a^10b^6 can be represented as (8a^5b^3)^2. So the square of the monomial is (8a^5b^3)^2.

4) 729x^14y^8z^24 can be represented as (9x^7y^4z^12)^2. So the square of the monomial is (9x^7y^4z^12)^2.

In general, to find the square of a monomial, you can divide the exponents of each variable by 2 and put them inside the parentheses with the base of the variable. Then, raise the entire expression to the power of 2.