The solution to -1/2 (4)^2 is -8

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-1/2 (4)^2

Solution

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

- 8

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(4)^{2} : 16

(4)^{2}

(4)^{2} = 16

= 16

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

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

- 3 (1) + 2 (4)

(2 - \frac{1}{4}) \times \frac{1}{14}

2 \times 7 - 5 \times 4 + 3 \times 6 - 2 \times 11 + 13

25 - (8 - 5 + 3) - (12 - 5 - 8)

1 (3 + 6) - 45 \div (7 + 8)