Question

A) 2⁹⁸ + 4⁵⁰ - 8³⁴/ 2⁹⁹-32²⁰ +2¹⁰¹

100 pontos​

Answer 1

Resposta:

2⁹⁸ + 4⁵⁰ - 8³⁴/ 2⁹⁹-32²⁰ +2¹⁰¹ = -1

Explicação passo a passo:

Resolvendo:

A) 2⁹⁸ + 4⁵⁰ - 8³⁴/ 2⁹⁹-32²⁰ +2¹⁰¹

$\frac{2^{98} + (4)^{50} - 8^{34}}{2^{99} - 32^{20} + 2^{101}} =$

$\frac{2^{98} + (2^2)^{50} - (2^3)^{34}}{2^{99} - (2^5)^{20} + 2^{101}} =$

$\frac{2^{98} + 2^{100} - 2^{102}}{2^{99} - 2^{100} + 2^{101}} =$

$\frac{2^{98}(2^{2} - 2^{4})}{2^{99}(2^{1} + 2^{2})} =$

$\frac{2^{0}( 4 - 16)}{2^{1}(2 + 4)} =$

$\frac{ - 12}{2(6)} =$

$\frac{ - 12}{12} = - 1$

Espero ter ajudado