What is expand-2^{-2}+4 ?

The solution to expand-2^{-2}+4 is 15/4

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expand-2^{-2}+4

expand

- 2^{- 2} + 4

\frac{15}{4}

Decimal Notation

3.75

Solution steps

- 2^{- 2} + 4

2^{- 2} = \frac{1}{4}

= - \frac{1}{4} + 4

Convert element to fraction:

4 = \frac{4 \cdot 4}{4}

= \frac{4 \cdot 4}{4} - \frac{1}{4}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{4 \cdot 4 - 1}{4}

4 \cdot 4 - 1 = 15

= \frac{15}{4}

4^{2} + (- 2^{2}) + 5

\frac{( x + 4 ) ( x + 6 )}{40}

\frac{2 ( 30 + 1155 )}{5}

\frac{s}{2 ( s ^{2} + ( 2 a + 2 k ) ^{2} )}

\frac{2 ( 31546 - 64 )}{549}