Algebra Examples

$- \frac{1}{2} \cdot 2^{8 - 1}$

Step 1

Subtract $1$ from $8$ .

$- \frac{1}{2} \cdot 2^{7}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{- 1}{2} \cdot 2^{7}$

Step 2.2

Factor $2$ out of $2^{7}$ .

$\frac{- 1}{2} \cdot (2 \cdot 2^{6})$

Step 2.3

Cancel the common factor.

$\frac{- 1}{2} \cdot (2 \cdot 2^{6})$

Step 2.4

Rewrite the expression.

$- 1 \cdot 2^{6}$

Step 3

Simplify the expression.

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Step 3.1

Raise $2$ to the power of $6$ .

$- 1 \cdot 64$

Step 3.2

Multiply $- 1$ by $64$ .

$- 64$