Реши примеры на свойства степеней с натуральным показателем.

Привет! Давай решим эти задания на степени. 1) $a^5 \cdot a^4 = a^{5+4} = a^9$ 2) $a^4 : a^3 = a^{4-3} = a^1 = a$ 3) $B \cdot B^{10} = B^{1+10} = B^{11}$ 4) $(B^7)^6 = B^{7\cdot6} = B^{42}$ 5) $a^{16} : a^4 = a^{16-4} = a^{12}$ 6) $(ab)^9 = a^9b^9$ 7) $aa^{12} = a^{1+12} = a^{13}$ 8) $a^7B^7 = (aB)^7$ 9) $3^3 \cdot 3^2 = 3^{3+2} = 3^5 = 243$ 10) $4^8 : 4^5 = 4^{8-5} = 4^3 = 64$ 11) $8^5 \cdot 0{,}125^5 = 8^5 \cdot (\frac{1}{8})^5 = (8 \cdot \frac{1}{8})^5 = 1^5 = 1$ 12) $\frac{a^{32} \cdot a^8}{a^{36}} = \frac{a^{32+8}}{a^{36}} = \frac{a^{40}}{a^{36}} = a^{40-36} = a^4$ 13) $\frac{8^3 \cdot 8^9}{8^{10}} = \frac{8^{3+9}}{8^{10}} = \frac{8^{12}}{8^{10}} = 8^{12-10} = 8^2 = 64$ 14) $(a^8)^3 : (a^7)^2 = a^{8\cdot3} : a^{7\cdot2} = a^{24} : a^{14} = a^{24-14} = a^{10}$ 15) $(B^6)^3 \cdot (B^4)^5 = B^{6\cdot3} \cdot B^{4\cdot5} = B^{18} \cdot B^{20} = B^{18+20} = B^{38}$ 16) $(13^5)^6 : 13^{28} = 13^{5\cdot6} : 13^{28} = 13^{30} : 13^{28} = 13^{30-28} = 13^2 = 169$ 17) $\frac{10^9 \cdot 10^6}{10^{14}} = \frac{10^{9+6}}{10^{14}} = \frac{10^{15}}{10^{14}} = 10^{15-14} = 10^1 = 10$ 18) $3^2 \cdot 3^3 \cdot 3 = 3^{2+3+1} = 3^6 = 729$ 19) $7^{11} : 7^8 = 7^{11-8} = 7^3 = 343$ 20) $(2^3)^5 : (2^2)^4 = 2^{3\cdot5} : 2^{2\cdot4} = 2^{15} : 2^8 = 2^{15-8} = 2^7 = 128$ 21) $\frac{5^9 \cdot 5^6}{5^{11}} = \frac{5^{9+6}}{5^{11}} = \frac{5^{15}}{5^{11}} = 5^{15-11} = 5^4 = 625$ 22) $\frac{3^5}{81} = \frac{3^5}{3^4} = 3^{5-4} = 3^1 = 3$ 23) $\frac{32^3}{2^4} = \frac{(2^5)^3}{2^4} = \frac{2^{5\cdot3}}{2^4} = \frac{2^{15}}{2^4} = 2^{15-4} = 2^{11} = 2048$ 24) $196^4 : 14^7 = (14^2)^4 : 14^7 = 14^{2\cdot4} : 14^7 = 14^8 : 14^7 = 14^{8-7} = 14^1 = 14$