Question

06) Simplifique a expressão
(0,001)×10 elevado 9 × (10 elevado -6)elevado 2 × (10 elevado 5) elevado -1 /(1000×0,00001)elevado -2 ×(1/1000)​

Answer 1

Resposta:

0,001

Explicação passo-a-passo:

$\left(0,001\right)\times \:10^{9\times \:10^{-6^{2\times \:10^{5^{-\frac{1}{\left(1000\times \:0,00001\right)^{-2\left(\frac{1}{1000}\right)}}}}}}}$

$=0,001\times \:10^{9\times \:10^{-6^{2\times \:10^{5^{-\frac{1}{\left(1000\times \:0,00001\right)^{-2\times \frac{1}{1000}}}}}}}}\\=10^{3,19274^-^3^0^4}\times \:0,001\\=1\times \:0,001\\=0,001$