Matemática discreta Exemplos

$1176 \cdot {(0.018)}^{2} \cdot {(0.982)}^{47} + 49 \cdot (0.018) \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1

Simplifique cada termo.

Toque para ver mais passagens...

Etapa 1.1

Eleve $0.018$ à potência de $2$ .

$1176 \cdot 0.000324 \cdot {(0.982)}^{47} + 49 \cdot (0.018) \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.2

Multiplique $1176$ por $0.000324$ .

$0.381024 \cdot {(0.982)}^{47} + 49 \cdot (0.018) \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.3

Eleve $0.982$ à potência de $47$ .

$0.381024 \cdot 0.42583359 + 49 \cdot (0.018) \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.4

Multiplique $0.381024$ por $0.42583359$ .

$0.16225282 + 49 \cdot (0.018) \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.5

Multiplique $49$ por $0.018$ .

$0.16225282 + 0.882 \cdot {(0.982)}^{48} + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.6

Eleve $0.982$ à potência de $48$ .

$0.16225282 + 0.882 \cdot 0.41816859 + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.7

Multiplique $0.882$ por $0.41816859$ .

$0.16225282 + 0.3688247 + 1 \cdot {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.8

Multiplique ${(0.018)}^{0}$ por $1$ .

$0.16225282 + 0.3688247 + {(0.018)}^{0} \cdot {(0.982)}^{49}$

Etapa 1.9

Qualquer coisa elevada a $0$ é $1$ .

$0.16225282 + 0.3688247 + 1 \cdot {(0.982)}^{49}$

Etapa 1.10

Multiplique ${(0.982)}^{49}$ por $1$ .

$0.16225282 + 0.3688247 + {(0.982)}^{49}$

Etapa 1.11

Eleve $0.982$ à potência de $49$ .

$0.16225282 + 0.3688247 + 0.41064156$

Etapa 2

Simplifique somando os números.

Toque para ver mais passagens...

Etapa 2.1

Some $0.16225282$ e $0.3688247$ .

$0.53107752 + 0.41064156$

Etapa 2.2

Some $0.53107752$ e $0.41064156$ .

$0.94171908$