Algebra Examples

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

Step 1

Multiply the exponents in ${(2^{2})}^{- 1}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 1.2

Multiply $2$ by $- 1$ .

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

Step 2

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

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Step 2.1

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

$2^{- 2 + 2}$

Step 2.2

Add $- 2$ and $2$ .

$2^{0}$

Step 3

Simplify $2^{0}$ .

$1$