Question

Дам 50 баллов за решение всех 5 задач

Answer 1

Ответ:

$1)\ \ -1,4xy^2\cdot 4x^5y^3=-5,6\, x^6\, y^5\\\\\\2)\ \ (4x^2y^3z)^3=64\, x^6\, y^9\, z^3\\\\\\3)\ \ 3x^{10}y\cdot 12x^6y=36x^{16}y^2=\Big(36^{\frac{1}{3}}\cdot x^{\frac{16}{3}}\cdot y^{\frac{2}{3}}\Big)^3\\\\\\4)\ \ x=3\ ,\ \ \dfrac{(x^{13})^4\cdot x^7}{x^{55}}=\dfrac{x^{52}\cdot x^7}{x^{55}}=\dfrac{x^{59}}{x^{55}}=x^{59-55}=x^4=3^4=81\\\\\\5)\ \ \Big(\dfrac{4}{5}\, ab^2c^3\Big)^3\cdot 5c^2b=\dfrac{64}{125}\, a^3\, b^6\, c^9\cdot 5c^2b=\dfrac{64}{125}\, a^3\, b^7\, c^{11}$