Basic Math Examples

$- \frac{2^{10} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 2^{8})}$

Step 1

Cancel the common factor of $2^{10}$ and $2^{8}$ .

Tap for more steps...

Step 1.1

Factor $2^{8}$ out of $2^{10} \cdot 8^{2}$ .

$- \frac{2^{8} (2^{2} \cdot 8^{2})}{{(- 2)}^{9} \cdot (- 2^{8})}$

Step 1.2

Cancel the common factors.

Tap for more steps...

Step 1.2.1

Factor $2^{8}$ out of ${(- 2)}^{9} \cdot (- 2^{8})$ .

$- \frac{2^{8} (2^{2} \cdot 8^{2})}{2^{8} ({(- 2)}^{9} \cdot (- 1))}$

Step 1.2.2

Cancel the common factor.

$- \frac{2^{8} (2^{2} \cdot 8^{2})}{2^{8} ({(- 2)}^{9} \cdot (- 1))}$

Step 1.2.3

Rewrite the expression.

$- \frac{2^{2} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 1)}$

Step 2

Cancel the common factor of $2^{2}$ and ${(- 2)}^{9}$ .

Tap for more steps...

Step 2.1

Rewrite $2$ as $- 1 (- 2)$ .

$- \frac{{(- 1 (- 2))}^{2} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 1)}$

Step 2.2

Apply the product rule to $- 1 (- 2)$ .

$- \frac{{(- 1)}^{2} {(- 2)}^{2} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 1)}$

Step 2.3

Raise $- 1$ to the power of $2$ .

$- \frac{1 {(- 2)}^{2} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 1)}$

Step 2.4

Multiply ${(- 2)}^{2}$ by $1$ .

$- \frac{{(- 2)}^{2} \cdot 8^{2}}{{(- 2)}^{9} \cdot (- 1)}$

Step 2.5

Factor ${(- 2)}^{2}$ out of ${(- 2)}^{2} \cdot 8^{2}$ .

$- \frac{{(- 2)}^{2} (8^{2})}{{(- 2)}^{9} \cdot - 1}$

Step 2.6

Cancel the common factors.

Tap for more steps...

Step 2.6.1

Factor ${(- 2)}^{2}$ out of ${(- 2)}^{9} \cdot - 1$ .

$- \frac{{(- 2)}^{2} (8^{2})}{{(- 2)}^{2} ({(- 2)}^{7} \cdot - 1)}$

Step 2.6.2

Cancel the common factor.

$- \frac{{(- 2)}^{2} \cdot 8^{2}}{{(- 2)}^{2} ({(- 2)}^{7} \cdot - 1)}$

Step 2.6.3

Rewrite the expression.

$- \frac{8^{2}}{{(- 2)}^{7} \cdot - 1}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Raise $8$ to the power of $2$ .

$- \frac{64}{{(- 2)}^{7} \cdot - 1}$

Step 3.2

Raise $- 2$ to the power of $7$ .

$- \frac{64}{- 128 \cdot - 1}$

Step 3.3

Multiply $- 128$ by $- 1$ .

$- \frac{64}{128}$

Step 4

Cancel the common factor of $64$ and $128$ .

Tap for more steps...

Step 4.1

Factor $64$ out of $64$ .

$- \frac{64 (1)}{128}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $64$ out of $128$ .

$- \frac{64 \cdot 1}{64 \cdot 2}$

Step 4.2.2

Cancel the common factor.

$- \frac{64 \cdot 1}{64 \cdot 2}$

Step 4.2.3

Rewrite the expression.

$- \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$