Algebra Examples

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

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

$2 \cdot 2^{2}$

Step 2

Multiply $2$ by $2^{2}$ by adding the exponents.

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Step 2.1

Multiply $2$ by $2^{2}$ .

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Step 2.1.1

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

$2^{1} \cdot 2^{2}$

Step 2.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2^{1 + 2}$

Step 2.2

Add $1$ and $2$ .

$2^{3}$

Step 3

Raise $2$ to the power of $3$ .

$8$