Simplify ((2^0)/2)^2

${(\frac{2^{0}}{2})}^{2}$

Step 1

Cancel the common factor of $2^{0}$ and $2$ .

Factor $2$ out of $2^{0}$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2^{- 1}$ by $1$ .

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

Step 2

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

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

$2^{- 1 \cdot 2}$

Multiply $- 1$ by $2$ .

$2^{- 2}$

Step 3

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

$\frac{1}{2^{2}}$

Step 4

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

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$