Basic Math Examples

$\frac{- 3^{3 n + 2} - 27^{n - 3}}{- 9^{- 3 n - 2}}$

Step 1

Move the negative in front of the fraction.

$- \frac{- 3^{3 n + 2} - 27^{n - 3}}{9^{- 3 n - 2}}$

Step 2

Factor $- 1$ out of $- 3^{3 n + 2}$ .

$- \frac{- (3^{3 n + 2}) - 27^{n - 3}}{9^{- 3 n - 2}}$

Step 3

Factor $- 1$ out of $- 27^{n - 3}$ .

$- \frac{- (3^{3 n + 2}) - (27^{n - 3})}{9^{- 3 n - 2}}$

Step 4

Factor $- 1$ out of $- (3^{3 n + 2}) - (27^{n - 3})$ .

$- \frac{- (3^{3 n + 2} + 27^{n - 3})}{9^{- 3 n - 2}}$

Step 5

Simplify the expression.

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Step 5.1

Rewrite $- (3^{3 n + 2} + 27^{n - 3})$ as $- 1 (3^{3 n + 2} + 27^{n - 3})$ .

$- \frac{- 1 (3^{3 n + 2} + 27^{n - 3})}{9^{- 3 n - 2}}$

Step 5.2

Move the negative in front of the fraction.

$- - \frac{3^{3 n + 2} + 27^{n - 3}}{9^{- 3 n - 2}}$

Step 5.3

Multiply $- 1$ by $- 1$ .

$1 \frac{3^{3 n + 2} + 27^{n - 3}}{9^{- 3 n - 2}}$

Step 5.4

Multiply $\frac{3^{3 n + 2} + 27^{n - 3}}{9^{- 3 n - 2}}$ by $1$ .

$\frac{3^{3 n + 2} + 27^{n - 3}}{9^{- 3 n - 2}}$