1) 2^18:(2^7)^2 4) 9^2cdot 27 2) (7^8)^2:(7^3)^5 5) (6^12cdot (6^3)^5)/((6^5))^(4cdot 6^4) 3) 11^5cdot (11^3)^7:11^26 6) (25^4cdot 125^10)/(5^37) Ne 8. IlpencraBbre BblpaxkeHue B BNAe CreneHu Bbluncnure ero 3Ha4eHine: Ne9. TlpencraBbre B BMA creneHu npon3BegeHMe: 1) x^9x^2 4) 7^11cdot 7^3; 7)(a+b)(a+b) 2) aa^7 : 5) m^4m^5m^11; 8)n^9n^4nn^3 3) b^3b^3 ; 6) C^19CC^3 9) (y-1)^5(y-1)^4 Ne 10. IlpencraBbTe B BMRe creneHu YaCTHOe: 1) a^23:a^15 ; 2) b^7:b 3) (a-b)^15:(a-b)^11 Ne 11. 3aMeHuTe 3Bë3,104Ky TaKON CTeneHblO C OCHOBaHMeM là, 4TOóbl BblnonHRITOCb paBeHCTBO: 1) a^11cdot ast =a^19 a^3cdot ast cdot a=a^25 3) a^14cdot ast =a^6 4)ast :a^19=a^23; 5)ast :a^7cdot a^11=a^13; 6)a^9:ast a=a^3 Ne 12. IlpencraBbre BblpaxeHue B Bune CTeneHu M Bbl4ncnure ero 3Ha4eHue: 1) 2^2cdot 2^3 6) (7^15:7^12)/(7^2) 2) 3^15:3^11 7) ((0,2)^14cdot (0,2)^9)/((0,2)^15)cdot (0,2)^(6) 3) 5^9cdot 5^3:5^10 8) 3^2cdot 81 4) 11^11:11^10 . 11; 9) 256:2^5cdot 2^2 (1(11)/(13))^17:(1(11)/(13))^16cdot 1(11)/(13) 10) (6^7)/(6^3)cdot 216 - Ne 13. IlpencraBbre cTeneHb B Buje npon3BegeHua creneHei": 1) (ab)^5 3) (3x)^4 . 5) (-0,2ab)^4 2) (mnp)^9 4) (-2dc)^3 ; 6) (^3/4cdot xy)^3 Ne 14. IlpencraBbTe B Buge creneHu BblpaxkeHue: 1) a^3y^3 3) 16a^2b^2; 5)-64/27cdot a^3b^3 2) -b^7 4) -32a^5b^5 6) 10000m^4n^4

1) $2^{18}:(2^{7})^{2} = 2^{18}:(2^{14}) = 2^{4} = 16$<br />4) $9^{2}\cdot 27 = 81\cdot 27 = 2187$<br />2) $(7^{8})^{2}:(7^{3})^{5} = 7^{16}:(7^{15}) = 7$<br />5) $\frac {6^{12}\cdot (6^{3})^{5}}{(6^{5})^{4}\cdot 6^{4}} = \frac {6^{12}\cdot 6^{15}}{6^{20}\cdot 6^{4}} = \frac {6^{27}}{6^{24}} = 6^{3} = 216$<br />3) $11^{5}\cdot (11^{3})^{7}:11^{26} = 11^{5}\cdot 11^{21}:11^{26} = 11^{26}:11^{26} = 1$<br />6) $\frac {25^{4}\cdot 125^{10}}{5^{37}} = \frac {(5^{2})^{4}\cdot (5^{3})^{10}}{5^{37}} = \frac {5^{8}\cdot 5^{30}}{5^{37}} = \frac {5^{38}}{5^{37}} = 5$<br />8) $(1\frac {11}{13})^{17}:(1\frac {11}{13})^{16}\cdot 1\frac {11}{13} = (1\frac {11}{13})^{17-16}\cdot 1\frac {11}{13} = 1\frac {11}{13}$<br />9) $256:2^{5}\cdot 2^{2} = 256:2^{7} = 2^{8}:2^{7} = 2$<br />10) $\frac {6^{7}}{6^{3}\cdot 216} = \frac {6^{7}}{6^{3}\cdot 6^{3}} = \frac {6^{7}}{6^{6}} = 6$<br />11) $a^{11}\cdot \ast =a^{19} \Rightarrow \ast =a^{8}$<br />$a^{3}\cdot \ast \cdot a=a^{25} \Rightarrow \ast =a^{19}$<br />$a^{14}\cdot \ast =a^{6} \Rightarrow \ast =a^{-8}$<br />$\ast :a^{19}=a^{23} \Rightarrow \ast =a^{4}$<br />$\ast :a^{7}\cdot a^{11}=a^{13} \Rightarrow \ast =a^{5}$<br />$a^{9}:\ast a=a^{3} \Rightarrow \ast =a^{6}$<br />12) $2^{2}\cdot 2^{3} = 2^{5} = 32$<br />$3^{15}:3^{11} = 3^{4} = 81$<br />$5^{9}\cdot 5^{3}:5^{10} = 5^{12}:5^{10} = 5^{2} = 25$<br />$11^{11}:11^{10} = 11$<br />$256:2^{5}\cdot 2^{2} = 2^{8}:2^{7} = 2$<br />$(1\frac {11}{13})^{17}:(1\frac {11}{13})^{16}\cdot 1\frac {11}{13} = 1\frac {11}{13}$<br />$\frac {6^{7}}{6^{3}\cdot 216} = 6$<br />13) $(ab)^{5} = a^{5}b^{5}$<br />$(3x)^{4} = 3^{4}x^{4} = 81x^{4}$<br />$(-0,2ab)^{4} = 0,16a^{4}b^{4}$<br />$(mnp)^{9} = m^{9}n^{9}p^{9}$<br />$(-2dc)^{3} = -8d^{3}c^{3}$<br />$(^{3}/4\cdot xy)^{3} = \frac{27}{64}x^{3}y^{3}$<br />14) $a^{3}y^{3}$<br />$16a^{2}b^{2}$<br />$-64/27\cdot a^{3}b^{3}$<br />$-b^{7}$<br />$-32a^{5}b^{5}$<br />$10000m^{4}n^{4}$