Finite Math Examples

$\frac{0.1 (1 - 2^{n})}{1 - 2}$

Step 1

Simplify the expression.

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Step 1.1

Subtract $2$ from $1$ .

$\frac{0.1 (1 - 2^{n})}{- 1}$

Step 1.2

Move the negative one from the denominator of $\frac{0.1 (1 - 2^{n})}{- 1}$ .

$- 1 \cdot (0.1 (1 - 2^{n}))$

Step 1.3

Rewrite $- 1 \cdot (0.1 (1 - 2^{n}))$ as $- (0.1 (1 - 2^{n}))$ .

$- (0.1 (1 - 2^{n}))$

Step 2

Apply the distributive property.

$- (0.1 \cdot 1 + 0.1 (- 2^{n}))$

Step 3

Multiply.

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Step 3.1

Multiply $0.1$ by $1$ .

$- (0.1 + 0.1 (- 2^{n}))$

Step 3.2

Multiply $- 1$ by $0.1$ .

$- (0.1 - 0.1 \cdot 2^{n})$

Step 4

Apply the distributive property.

$- 1 \cdot 0.1 - (- 0.1 \cdot 2^{n})$

Step 5

Multiply.

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Step 5.1

Multiply $- 1$ by $0.1$ .

$- 0.1 - (- 0.1 \cdot 2^{n})$

Step 5.2

Multiply $- 0.1$ by $- 1$ .

$- 0.1 + 0.1 \cdot 2^{n}$