Pre-Algebra Examples

$1 - \frac{1}{\frac{{(1 + 0.1)}^{10}}{0.1}}$

Step 1

Simplify each term.

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$1 - (1 \frac{0.1}{{(1 + 0.1)}^{10}})$

Step 1.2

Multiply $\frac{0.1}{{(1 + 0.1)}^{10}}$ by $1$ .

$1 - \frac{0.1}{{(1 + 0.1)}^{10}}$

Step 1.3

Simplify the denominator.

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Step 1.3.1

Add $1$ and $0.1$ .

$1 - \frac{0.1}{{1.1}^{10}}$

Step 1.3.2

Raise $1.1$ to the power of $10$ .

$1 - \frac{0.1}{2.59374246}$

Step 1.4

Divide $0.1$ by $2.59374246$ .

$1 - 1 \cdot 0.03855432$

Step 1.5

Multiply $- 1$ by $0.03855432$ .

$1 - 0.03855432$

Step 2

Subtract $0.03855432$ from $1$ .

$0.96144567$