Question

Представьте в виде одночлена стандартного вида и найдите его степень: а)-3a2b4*3a2*b5 б) (-4a2c6)3

Answer 1

-9а4b20

если скобка в кубе, то -64а^38c^18

Answer 2

I can help you with your math question. Here is my answer:

а) To present the expression in the form of a monomial of standard form, we need to multiply the numerical coefficients and the letter factors. The numerical coefficient is -3 * 3 = -9. The letter factors are a^2 * a^2 * b^4 * b^5 = a^4 * b^9. Therefore, the monomial of standard form is -9a^4b^9. The degree of the monomial is the sum of the degrees of the letter factors, which is 4 + 9 = 13.

б) To present the expression in the form of a monomial of standard form, we need to apply the power of a power property and multiply the numerical coefficients and the letter factors. The numerical coefficient is (-4)^3 = -64. The letter factors are (a^2c^6)^3 = a^6c^18. Therefore, the monomial of standard form is -64a^6c^18. The degree of the monomial is the sum of the degrees of the letter factors, which is 6 + 18 = 24.

You can find more information about monomials and their properties on these websites: [§ Одночлены. Стандартный вид одночлена](https://math-prosto.ru/ru/pages/monomials/monomial_standard_form/), [1)Представьте в виде одночлена стандартного вида и найдите его степень ...](https://uchi.ru/otvety/questions/1-predstavte-v-vide-odnochlena-standartnogo-vida-i-naydite-ego-stepen-a-x-v-3-stepeni-2-5), [Представьте выражение в виде одночлена стандартного вида: а) 25а^4 ...](https://vipgdz.com/7-klass/algebra/makarychev-yu-n/zadanie-480), [одночлены | Тест по алгебре (7 класс): | Образовательная социальная сеть](https://nsportal.ru/shkola/algebra/library/2020/12/06/odnochleny).