What is -1/2 (4)^2+5 ?

The solution to -1/2 (4)^2+5 is -3

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-1/2 (4)^2+5

- \frac{1}{2} (4)^{2} + 5

- 3

Solution steps

- \frac{1}{2} (4)^{2} + 5

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

= - \frac{1}{2} \cdot 16 + 5

Multiply and divide (left to right)

- \frac{1}{2} \cdot 16 : - 8

- \frac{1}{2} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= - \frac{1}{2} \cdot \frac{16}{1}

Apply the fraction rule:

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

\frac{1}{2} \cdot \frac{16}{1} = \frac{1 \cdot 16}{2 \cdot 1}

= - \frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = 8

\frac{1 \cdot 16}{2 \cdot 1}

\frac{1 \cdot 16}{2 \cdot 1} = \frac{16}{2}

\frac{1 \cdot 16}{2 \cdot 1}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{16}{2}

= \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8

= - 8

= - 8 + 5

Add and subtract (left to right)

- 8 + 5 : - 3

- 8 + 5

- 8 + 5 = - 3

= - 3

= - 3

2^{6} + 2^{4}

(45 - 27) + (28 \times 3)

(2 \times (- 3)) (\times (- 1))

- 3 (0) + 1

- 3 (0) + 5