Question

10- Calcule o valor da expressão a seguir.

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

Answer 1

Resposta:

$\red{\mathsf{ \frac{21}{16} }}$

Explicação passo-a-passo:

$\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} }  \:  \: \mathsf {OI, TUDO \:  J\acute{O}IA \: ? \:  \:\blue {{ _{\heartsuit} } \heartsuit_{\heartsuit} } }$

$\mathsf{ {\left( - \frac{1}{2} \right)}^{0} + {\left( - \frac{1}{2} \right)}^{2} + {\left( - \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + {\left( - \frac{1}{2} \right)}^{2} + {\left( - \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + {\left( \frac{1}{2} \right)}^{2} + {\left( - \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + \frac{ {1}^{2} }{ {2}^{2} } + {\left( - \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + \frac{1}{4} + {\left( - \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + \frac{1}{4} + {\left( \frac{1}{2} \right)}^{4} } \\ \\ \mathsf{1 + \frac{1}{4} + \frac{ {1}^{4} }{ {2}^{4} } } \\ \\ \mathsf{1 + \frac{1}{4} + \frac{1}{16} } \\ \\ \mathsf{ \frac{16 + 4 + 1}{16} } \\ \\ \red{\mathsf{ \frac{21}{16} }}$