Question

ПОМОГИТЕ ПОЖАЛУЙСТА ДАЮ 20 БАЛЛОВ

Answer 1

$1)\; \; x^3\cdot x^{12}=x^{3+12}=x^{15}\\\\x^{15}:x^7=x^{15-7}=x^8\\\\(x^3)^6=x^{3\cdot 6}=x^{18}\\\\(2x)^3=2^3\cdot x^3=8x^3\\\\2)\; \; \frac{3^8\cdot 27}{81^2}=\frac{3^8\cdot 3^3}{(3^4)^2}=\frac{3^{11}}{3^8}=3^3\\\\3^4\cdot (-\frac{2}{3})^3-\frac{1}{0,1^3}=-\frac{3^4\cdot 2^3}{3^3}-10^3=-3\cdot 8-1000=-1024\\\\3)\; \; (x^2)^3\cdot x^6=x^6\cdot x^6=x^{12}\\\\\frac{(a^5)^3}{a^{15}}=\frac{a^{15}}{a^{15}}=1\\\\(2b^4)^2\cdot b^3=2^2\cdot b^8\cdot b^3=4b^{11}$

$4)\; \; \frac{(2^2)^3:2^4}{2^8}=\frac{2^6}{2^4\cdot 2^8}=\frac{2^6}{2^{12}}=\frac{1}{2^6}=2^{-6}$