Question

2. Calcule o valor das expressões a seguir. ​

Answer 1

Resposta:

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Explicação passo a passo:

a)

$\left[{(0,001)^4\cdot 100^7\over10^5}\right]\cdot (0,1)^{-4} = \left[{(10^{-3})^4\cdot (10^2)^7\over10^5} \right]\cdot(10^{-1})^{-4}={10^{-12}\cdot10^{14}\over 10^5}\cdot 10^4\\\\= 10^{-17}\cdot10^{14}\cdot 10^4 = 10^{1} = 10$

b)

$\left({3^{12} + 3^8\over3^6+3^{10}}\right)\cdot 12 = {3^8(3^4 + 1)\over3^6(3^4+1)}\cdot12 = 3^2\cdot12 = 108$