Algebra Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Multiply $2$ by ${(2)}^{- 2}$ .

Tap for more steps...

Step 1.1.1

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

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

Step 1.1.2

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

$2^{1 - 2}$

Step 1.2

Subtract $2$ from $1$ .

$2^{- 1}$

Step 2

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

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$