Finite Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Raise $0.018$ to the power of $2$ .

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

Step 1.2

Multiply $1176$ by $0.000324$ .

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

Step 1.3

Raise $0.982$ to the power of $47$ .

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

Step 1.4

Multiply $0.381024$ by $0.42583359$ .

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

Step 1.5

Multiply $49$ by $0.018$ .

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

Step 1.6

Raise $0.982$ to the power of $48$ .

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

Step 1.7

Multiply $0.882$ by $0.41816859$ .

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

Step 1.8

Multiply ${(0.018)}^{0}$ by $1$ .

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

Step 1.9

Anything raised to $0$ is $1$ .

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

Step 1.10

Multiply ${(0.982)}^{49}$ by $1$ .

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

Step 1.11

Raise $0.982$ to the power of $49$ .

$0.16225282 + 0.3688247 + 0.41064156$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $0.16225282$ and $0.3688247$ .

$0.53107752 + 0.41064156$

Step 2.2

Add $0.53107752$ and $0.41064156$ .

$0.94171908$