Question

considere os números a= (0,125)^15 e b = (0,25)^10. o produto a.b é igual a:​

Answer 1

Resposta:

$(\frac{1}{2})^{65}$

Explicação passo-a-passo:

$a=(0,125)^{15}\\\\a=(\frac{125}{1000})^{15}\\\\a=(\frac{5^{3}}{10^{3}})^{15} \\\\a=[(\frac{5}{10})^{3}]^{15}\\ \\a=[(\frac{1}{2})^{3}]^{15}\\\\a=[(\frac{1}{2})^{45}]\\\\b=(0,25)^{10}\\\\b=(\frac{25}{100})^{10}\\\\b=(\frac{1}{4})^{10}\\\\b=[(\frac{1}{2})^{2}]^{10}\\\\b=[(\frac{1}{2})^{20}]\\\\a*b=\\(\frac{1}{2})^{45} * (\frac{1}{2})^{20}\\\\(\frac{1}{2})^{65}$

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