Question

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Answer 1

Răspuns:

c) -2, d) 1

Explicație pas cu pas:

c)

$( - 1) - {( - 1)}^{2} - {( - 1)}^{3} - ... - {( - 1)}^{20} =$

$= - 1 - 1 - ( - 1) - 1 - ... - ( - 1) - 1$

$= - 1 - 1 + 1 - 1 + ... + 1 - 1$

$= - 1 - 1 + (1 - 1) + ... + (1 - 1)$

$= - 2 + 0 + ... + 0 = \bf - 2$

d)

$( - 2) \cdot {( - 2)}^{2} \cdot {( - 2)}^{3} \cdot ... \cdot {( - 2)}^{20} : {( - 8)}^{70} =$

$= {( - 2)}^{1 + 2 + 3 + ... + 20} : {8}^{70} = {( - 2)}^{ \frac{20 \cdot 21}{2} } : {( {2}^{3} )}^{70}$

$= {( - 2)}^{210} : {2}^{210} = {2}^{210} : {2}^{210} = \bf 1$