32) 14^6 * (1/7)^6 =

32) $14^6 \cdot (\frac{1}{7})^6 = (14 \cdot \frac{1}{7})^6 = 2^6 = 64$ 33) $0,25^9 \cdot 4^9 = (0,25 \cdot 4)^9 = 1^9 = 1$ 34) $(2^2)^3 : 2^3 = 2^6 : 2^3 = 2^{6-3} = 2^3 = 8$ 35) $\frac{(2^{10})^2 \cdot 2^7}{2^7} = (2^{10})^2 = 2^{20} = 1048576$ 36) $\frac{5^{13} \cdot 5^7}{(5^4)^5} = \frac{5^{20}}{5^{20}} = 1$ 37) $\frac{3^{10} \cdot (3^3)^3}{3^{16}} = \frac{3^{10} \cdot 3^9}{3^{16}} = \frac{3^{19}}{3^{16}} = 3^3 = 27$ 38) $\frac{(2^4)^3 \cdot (2^5)^2}{(2^3)^6} = \frac{2^{12} \cdot 2^{10}}{2^{18}} = \frac{2^{22}}{2^{18}} = 2^4 = 16$ 39) $2^3 \cdot 4^3 = (2 \cdot 4)^3 = 8^3 = 512$ 40) $16^2 \cdot 4^3 : 8^4 = (2^4)^2 \cdot (2^2)^3 : (2^3)^4 = 2^8 \cdot 2^6 : 2^{12} = 2^{14} : 2^{12} = 2^2 = 4$ 41) $625 \cdot 5^7 : 125^3 = 5^4 \cdot 5^7 : (5^3)^3 = 5^{11} : 5^9 = 5^2 = 25$ 42) $100^3 \cdot 10^{12} : 1000^4 = (10^2)^3 \cdot 10^{12} : (10^3)^4 = 10^6 \cdot 10^{12} : 10^{12} = 10^6 = 1000000$ 43) $\frac{(2^2)^9 \cdot 8}{2^{20}} = \frac{2^{18} \cdot 2^3}{2^{20}} = \frac{2^{21}}{2^{20}} = 2^1 = 2$ 44) $\frac{27 \cdot (3^4)^6}{3^{20} \cdot 3^5} = \frac{3^3 \cdot 3^{24}}{3^{25}} = \frac{3^{27}}{3^{25}} = 3^2 = 9$ 45) $\frac{5^{15} \cdot 5^{12}}{125 \cdot (5^8)^3} = \frac{5^{27}}{5^3 \cdot 5^{24}} = \frac{5^{27}}{5^{27}} = 1$