Question

Помогите решить примеры!

Answer 1

Ответ:

$1)\ a)\ (6^3:400+0,3^3):(-0,1)^2=\Big(\dfrac{27}{50}+\dfrac{3^3}{10^3}\Big):\Big(-\dfrac{1}{10^2}\Big)=\\\\\\=-\Big(\dfrac{27}{50}+\dfrac{27}{1000}\Big)\cdot 100=-\dfrac{27\cdot 20+27}{1000}\cdot 100=-\dfrac{567}{10}=-56,7$

$b)\ \ (3,8-4,1)^4\cdot \Big(-1\dfrac{2}{3}\Big)^3=(-0,3)^3\cdot \Big(-\dfrac{5}{3}\Big)^3=\dfrac{3^3}{10^3}\cdot \dfrac{5^3}{3^3}=\dfrac{125}{1000}=0,125$

$2)\ \ y^3y^8y^5=y^{3+8+5}=y^{16}\\\\c^7cc^2=c^{7+1+2}=c^{10}\\\\(m-n)^8(m-n)^3=(m-n)^{11}\\\\\\3)\ \ (-a^5)^4=(-1)^4\cdot (a^5)^4=a^{20}\\\\((a^3)^2)^5=(a^6)^5=a^{30}\\\\a^{24}:(a^8)^2\cdot a^{13}=\dfrac{a^{24}\cdot a^{13}}{(a^8)^2}=\dfrac{a^{37}}{a^{16}}=a^{37-16}=a^{21}$