Algebra Examples

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

Step 1

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

$\frac{4}{2^{- 8}} \cdot 2^{8}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{4}{\frac{1}{2^{8}}} \cdot 2^{8}$

Step 2.2

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

$\frac{4}{\frac{1}{256}} \cdot 2^{8}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$4 \cdot 256 \cdot 2^{8}$

Step 4

Multiply $4$ by $256$ .

$1024 \cdot 2^{8}$

Step 5

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

$1024 \cdot 256$

Step 6

Multiply $1024$ by $256$ .

$262144$