Basic Math Examples

$1 - {(1 + \frac{9.5}{12})}^{- 12 \times 4}$

Step 1

Simplify each term.

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Step 1.1

Divide $9.5$ by $12$ .

$1 - {(1 + 0.791\overline{6})}^{- 12 \cdot 4}$

Step 1.2

Add $1$ and $0.791\overline{6}$ .

$1 - {1.791\overline{6}}^{- 12 \cdot 4}$

Step 1.3

Multiply $- 12$ by $4$ .

$1 - {1.791\overline{6}}^{- 48}$

Step 1.4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$1 - \frac{1}{{1.791\overline{6}}^{48}}$

Step 1.5

Raise $1.791\overline{6}$ to the power of $48$ .

$1 - \frac{1}{1433330246839.16}$

Step 1.6

Divide $1$ by $1433330246839.16$ .

$1 - 1 \cdot 0$

Step 1.7

Multiply $- 1$ by $0$ .

$10$

Step 2

Subtract $0$ from $1$ .

$0.99999999$