simplifique cada expressão a) (1/2)^3 vezes (1/2)^ -2 Sobre (1/2)^ -6b) 16^2 vezes 18^3 sobre 2^9c) X^10 vezes (x^2)^4 sobre x^3:x^2d) 5^3×-2.5^×-1.5^×-5=
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A) ( \frac{1}{2})^{3} * ( \frac{1}{2})^{-2} * ( \frac{1}{2})^{-6} = ( \frac{1}{2})^{(3-2-6)} = ( \frac{1}{2})^{-5} = 2^{5} = 32
b) 16^{2} * 18^{3} * 2^{9} = (2^{4})^{2}*2^{9}*(2*9)^3 = 2^{8}*2^{9}*2^{3}*9^{3} = 2^{(8+9+3)} * 9^{3} = 2^{20} * 9^{3} = 1.048.576 * 729 = 764.411.904
c) \frac{x^{10}*(x^{2})^{4}}{\frac{x^{3}}{x^{2}}} = \frac{x^{10}*x^{8}}{x^{3}*x^{-2}}= \frac{x^{18}}{x} = x^{17}
d) 5^{(3x-2)} * 5^{(x-1)} * 5^{(x-5)} = 5^{(3x-2+x-1+x-5)} = 5^{(5x-8)}
b) 16^{2} * 18^{3} * 2^{9} = (2^{4})^{2}*2^{9}*(2*9)^3 = 2^{8}*2^{9}*2^{3}*9^{3} = 2^{(8+9+3)} * 9^{3} = 2^{20} * 9^{3} = 1.048.576 * 729 = 764.411.904
c) \frac{x^{10}*(x^{2})^{4}}{\frac{x^{3}}{x^{2}}} = \frac{x^{10}*x^{8}}{x^{3}*x^{-2}}= \frac{x^{18}}{x} = x^{17}
d) 5^{(3x-2)} * 5^{(x-1)} * 5^{(x-5)} = 5^{(3x-2+x-1+x-5)} = 5^{(5x-8)}
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