What is -1/2 (-2)^2+5 ?

The solution to -1/2 (-2)^2+5 is 3

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-1/2 (-2)^2+5

- \frac{1}{2} (- 2)^{2} + 5

3

Solution steps

- \frac{1}{2} (- 2)^{2} + 5

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= - \frac{1}{2} \cdot 4 + 5

Multiply and divide (left to right)

- \frac{1}{2} \cdot 4 : - 2

- \frac{1}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

\frac{1}{2} \cdot \frac{4}{1} = \frac{1 \cdot 4}{2 \cdot 1}

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

\frac{1 \cdot 4}{2 \cdot 1} = 2

\frac{1 \cdot 4}{2 \cdot 1}

\frac{1 \cdot 4}{2 \cdot 1} = \frac{4}{2}

\frac{1 \cdot 4}{2 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{4}{2}

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= - 2

= - 2 + 5

Add and subtract (left to right)

- 2 + 5 : 3

- 2 + 5

- 2 + 5 = 3

= 3

= 3

(\frac{4}{4})^{3} - 3 - 4^{2}

3 (- 3)^{2} + 6 (- 3)

- \frac{2}{7} \times (- 3) \times 14

2 (8)^{1}

- 10 - 4 - [- 10 + 16 - (3 + 2 - 5) + 3 - 2]