Doprowadz wyrażenie do najprostszej postaci.
a)(0,5) ^{-4} *2 ^{5} * ((0,5) ^{3}) ^{-2}:((0,25) ^{-3} * (0,5) ^{-4} * 2 ^{10}
*(znak mnożenia)
^{-4} -do potęgi -4,itd
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a)
(0,5) ^{-4} *2 ^{5} * ((0,5) ^{3}) ^{-2}:((0,25) ^{-3} * (0,5) ^{-4} * 2 ^{10} =
2^4 * 2^5 * ((1/2)^3)^{-2} : (4^3 * 2^4 * 2^10) =
2^(4 +5) * (1/2)^(3 * (-2)) : [ (2^2)^3 * 2^(4 + 10) ] =
2^9 * (1/2)^(-6) : [ 2^6 * 2^14 ] = 2^9 * 2^6 : 2^(6 + 14) =
2^(9 + 6) : 2^20 = 2^15 : 2^20 = 2^(15 - 20) = 2^(-5) = (1/2)^5 = 1/32
(0,5) ^{-4} *2 ^(5) * ((0,5) ^{3}) ^{-2}:((0,25) ^{-3} * (0,5) ^{-4} * 2 ^{10} =
2^4 * 2^5 * ((1/2)^3)^(-2) : (4^3 * 2^4 * 2^10) =
2^(4 +5) * (1/2)^(3 * (-2)) : [ (2^2)^3 * 2^(4 + 10) ] =
2^9 * (1/2)^(-6) : [ 2^6 * 2^14 ] = 2^9 * 2^6 : 2^(6 + 14) =
2^(9 + 6) : 2^20 =
2^15 : 2^20 =
2^(15 - 20) =
2^(-5) =
(1/2)^5 =
1/32