Question

O valor expressão [10 . 10 ^-5 . (10 ^2 ) ^-3 ]/(10 ^-4 )^3 é:

Answer 1

Explicação passo-a-passo:

$\sf \dfrac{10\cdot10^{-5}\cdot(10^2)^{-3}}{(10^{-4})^3}$

$\sf =\dfrac{10\cdot10^{-5}\cdot10^{2\cdot(-3)}}{10^{(-4)\cdot3}}$

$\sf =\dfrac{10\cdot10^{-5}\cdot10^{-6}}{10^{-12}}$

$\sf =\dfrac{10^{1-5-6}}{10^{-12}}$

$\sf =\dfrac{10^{-10}}{10^{-12}}$

$\sf =10^{-10-(-12)}$

$\sf =10^{-10+12}$

$\sf =10^2$

$\sf =100$