Basic Math Examples

$900 \cdot {(1 + \frac{7 %}{12})}^{- 12 \cdot 2}$

Step 1

Simplify each term.

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Step 1.1

Convert $7 %$ to a decimal.

$900 \cdot {(1 + \frac{0.07}{12})}^{- 12 \cdot 2}$

Step 1.2

Divide $0.07$ by $12$ .

$900 \cdot {(1 + 0.0058\overline{3})}^{- 12 \cdot 2}$

Step 2

Simplify the expression.

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Step 2.1

Add $1$ and $0.0058\overline{3}$ .

$900 \cdot {1.0058\overline{3}}^{- 12 \cdot 2}$

Step 2.2

Multiply $- 12$ by $2$ .

$900 \cdot {1.0058\overline{3}}^{- 24}$

Step 3

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

$900 \cdot \frac{1}{{1.0058\overline{3}}^{24}}$

Step 4

Raise $1.0058\overline{3}$ to the power of $24$ .

$900 \cdot \frac{1}{1.14980601}$

Step 5

Divide $1$ by $1.14980601$ .

$900 \cdot 0.86971192$

Step 6

Multiply $900$ by $0.86971192$ .

$782.74072869$