Реши задания 206-220

206. 1) $a^6 * a^5 = a^{11}$; 2) $a * a^6 = a^7$. 207. 1) $a^{12} = a^7 * a^5$; 2) $a^{12} = a^8 * a^4$; 3) $a^{12} = a^{11} * a$; 4) $a^{12} = a^{12} * a^0$; 5) $a^{12} = a * a^{11}$. 208. 1) $a^{12} : a^2 = a^{10}$; 2) $b^6 : b = b^5$; 3) $c^7 : c^6 = c$; 4) $(a+b)^5 : (a+b)^4 = a+b$. 209. 1) $7^7 : 7^5 = 7^2 = 49$; 2) $10^{18} : 10^{14} = 10^4 = 10000$; 3) $0.6^9 : 0.6^6 = 0.6^3 = 0.216$; 4) $(- \frac{1}{8})^5 : (- \frac{1}{8})^3 = (- \frac{1}{8})^2 = \frac{1}{64}$. 210. 1) $m^{10} : m^2 = m^8$; 2) $x^5 : x^4 = x$; 3) $y^{18} : y^6 = y^{12}$. 211. 1) $(m^5)^3 = m^{15}$; 2) $(m^3)^4 = m^{12}$; 3) $((m^2)^4)^6 = (m^8)^6 = m^{48}$; 4) $(m^7)^2 * (m^3)^9 = m^{14} * m^{27} = m^{41}$. 212. 1) $(n^2)^8 = n^{16}$; 2) $(n^9)^5 = n^{45}$; 3) $((n^3)^2)^{10} = (n^6)^{10} = n^{60}$; 4) $(n^{12})^4 * (n^{21})^2 = n^{48} * n^{42} = n^{90}$. 213. 1) $(ab)^6 = a^6b^6$; 2) $(mnp)^5 = m^5n^5p^5$; 3) $(3c)^7 = 3^7c^7 = 2187c^7$; 4) $(-8xy)^3 = (-8)^3x^3y^3 = -512x^3y^3$; 5) $(-0.2cd)^4 = (-0.2)^4c^4d^4 = 0.0016c^4d^4$; 6) $(\frac{3}{7}kt)^9 = (\frac{3}{7})^9k^9t^9 = \frac{19683}{40353607}k^9t^9$. 214. 1) $(ax)^2 = a^2x^2$; 2) $(xyz)^{12} = x^{12}y^{12}z^{12}$; 3) $(7m)^8 = 7^8m^8 = 5764801m^8$; 4) $(-0.3bc)^{11} = (-0.3)^{11}b^{11}c^{11} = -1.77147 * 10^{-6}b^{11}c^{11}$. 215. 1) $-x * x^2 = -x^3$; 2) $(-x)^2 * x = x^2 * x = x^3$; 3) $-x * (-x)^2 = -x * x^2 = -x^3$; 4) $(-x) * (-x)^2 * (-x) = (-x) * x^2 * (-x) = x^4$. 216. 1) $(-a)^2 * a^3 = a^2 * a^3 = a^5$; 2) $-a^2 * a^3 = -a^5$; 3) $a^2 * (-a)^3 = a^2 * (-a^3) = -a^5$; 4) $-a^2 * (-a)^3 = -a^2 * (-a^3) = a^5$. 217. 1) $(-a^5)^2 = a^{10}$; 2) $(-a^3)^3 = -a^9$; 3) $(-a^4)^7 * (-a^2)^6 = -a^{28} * a^{12} = -a^{40}$. 218. 1) $((-a^6)^5)^9 = (-a^{30})^9 = -a^{270}$; 2) $((-a^{11})^2)^3 = (a^{22})^3 = a^{66}$. 219. 1) $a^3b^3 = (ab)^3$; 2) $-m^7$ - нельзя представить в виде степени; 3) $9m^2n^2 = (3mn)^2$; 4) $64x^3y^3 = (4xy)^3$; 5) $- \frac{27}{343}c^3d^3 = (- \frac{3}{7}cd)^3$; 6) $0.0001k^4p^4 = (0.01kp)^4$. 220. 1) $x^{12}y^{12} = (xy)^{12}$; 2) $-125m^3n^3 = (-5mn)^3$; 3) $32p^5q^5 = (2pq)^5$; 4) $1000000000a^9b^9c^9 = (10abc)^9$.