32) 14^8 * (1/7)^8 =

32) $14^8 \cdot (1/7)^8 = (14 \cdot 1/7)^8 = 2^8 = 256$ 33) $0,25^9 \cdot 4^9 = (0,25 \cdot 4)^9 = 1^9 = 1$ 34) $(2^2)^3 : 2^8 = 2^6 : 2^8 = 2^{-2} = 1/4 = 0,25$ 35) $(2^{10})^2 : 2^7 / 2^7 = 2^{20} : 2^7 / 2^7 = 2^{13} / 2^7 = 2^6 = 64$ 36) $(5^{13} \cdot 5^7) / (5^4)^3 = 5^{20} / 5^{12} = 5^8 = 390625$ 37) $(3^{10} \cdot (3^3)^3) / 3^{16} = (3^{10} \cdot 3^9) / 3^{16} = 3^{19} / 3^{16} = 3^3 = 27$ 38) $((2^4)^3 \cdot (2^5)^2) / (2^3)^6 = (2^{12} \cdot 2^{10}) / 2^{18} = 2^{22} / 2^{18} = 2^4 = 16$ 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) $((2^2)^9 \cdot 8) / 2^{20} = (2^{18} \cdot 2^3) / 2^{20} = 2^{21} / 2^{20} = 2^1 = 2$ 44) $(27 \cdot (3^4)^6) / (3^{20} \cdot 3^5) = (3^3 \cdot 3^{24}) / 3^{25} = 3^{27} / 3^{25} = 3^2 = 9$ 45) $(5^{15} \cdot 5^{12}) / (125 \cdot (5^8)^3) = 5^{27} / (5^3 \cdot 5^{24}) = 5^{27} / 5^{27} = 1$