Question

a fração é igual a:
​

Answer 1

Resposta:

$\frac{21}{4}$

Explicação passo-a-passo:

$\frac{2 {}^{98} + 4 {}^{50} .8 {}^{34} }{2 {}^{99 } - 32 {}^{20} + 2 {}^{101} } = \frac{2 {}^{98} + (2 {}^{2}) {}^{50} .(2 {}^{3} ) {}^{34} }{2 {}^{99} - (2 {}^{5}) {}^{20} + 2 {}^{101} } = \frac{2 {}^{98} + (2) {}^{2.50}.(2) {}^{3.34} }{2 {}^{99} -( 2) {}^{5.20} + 2 {}^{101} } = \frac{2 {}^{98} + 2 {}^{100}.2 {}^{102} }{2 {}^{99} - 2 {}^{100} + 2 {}^{101} } = \frac{2 {}^{98} .(1 + 2 {}^{2} + 2 {}^{4} )}{2 {}^{99}.( - 2 + 2 {}^{2}) } = \frac{2 {}^{98}.(1 + 4 + 16) }{2 {}^{99} .( - 2 + 4)} = \frac{2 {}^{98} .21}{2 {}^{99}.2 } = \frac{2 {}^{98}.21 }{2 {}^{99 + 1} } = \frac{2 {}^{98}.21 }{2 {}^{100} } = 2 {}^{98 - 100} .21 = 2 {}^{ - 2} .21 = ( \frac{1}{2} ) {}^{2} .21 = \frac{1}{4} .21 = \frac{21}{4}$